The number 12210
12210 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 5 × 11 × 37. Divisors (32): 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 37, 55, 66, 74, 110 … 12210.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 12210: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 6.
- 2
12210 is composite. Its prime factorisation is
- 3
The divisors add up to 32832; without 12210 itself that is 20622, so 12210 is abundant (20622 is more than 12210). Euler's totient φ(12210) = 2880 numbers up to 12210 share no factor with it.
- 4
The digits of 12210 add up to 6, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12210 = 2 \times 3 \times 5 \times 11 \times 37 \]
12210 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 32832 |
| Euler totient φ(n) | 2880 |
| Square | 149084100 |
| Cube | 1820316861000 |
| Square root | 110.498869 |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 112 |
| Scientific notation | 1.221 × |
12210 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand two hundred and ten |
| Binary (base 2) | 10111110110010 |
| Octal (base 8) | 27662 |
| Hexadecimal (base 16) | 2FB2 |
| Base 3 | 121202020 |
| As time | 12210 seconds = 3 h 23 min 30 s |
Is 12210 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (12210 ÷ 2 = 6105) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (12210 ÷ 3 = 4070) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (12210 ÷ 5 = 2442) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (12210 ÷ 6 = 2035) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (12210 ÷ 10 = 1221) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (12210 ÷ 11 = 1110) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 12210 a prime number?
No. 12210 = 2 × 3 × 5 × 11 × 37, so it is divisible by 2.
What are the factors of 12210?
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 37, 55, 66, 74, 110, 111, 165, 185, 222, 330, 370, 407, 555, 814, 1110, 1221, 2035, 2442, 4070, 6105, 12210.
What is 12210 in binary?
10111110110010 (hexadecimal 2FB2, octal 27662).
What is the square root of 12210?
About 110.4989.
Is 12210 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 12210?
12210 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 6.