The number 12200
12200 is a composite number with 24 divisors. Its prime factorisation is × × 61. Divisors (24): 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 61, 100, 122, 200, 244, 305 … 12200.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 12200: a Harshad number: divisible by its digit sum 5.
- 2
12200 is composite. Its prime factorisation is
- 3
The divisors add up to 28830; without 12200 itself that is 16630, so 12200 is abundant (16630 is more than 12200). Euler's totient φ(12200) = 4800 numbers up to 12200 share no factor with it.
- 4
The digits of 12200 add up to 5, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12200 = 2^{3} \times 5^{2} \times 61 \]12200 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 28830 |
| Euler totient φ(n) | 4800 |
| Square | 148840000 |
| Cube | 1815848000000 |
| Square root | 110.453610 (= 10√122) |
| Digit sum / digital root | 5 / 5 |
| Collatz steps to 1 | 112 |
| Scientific notation | 1.22 × |
12200 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand two hundred |
| Binary (base 2) | 10111110101000 |
| Octal (base 8) | 27650 |
| Hexadecimal (base 16) | 2FA8 |
| Base 3 | 121201212 |
| As time | 12200 seconds = 3 h 23 min 20 s |
Is 12200 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (12200 ÷ 2 = 6100) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (12200 ÷ 4 = 3050) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (12200 ÷ 5 = 2440) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | Yes (12200 ÷ 8 = 1525) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (12200 ÷ 10 = 1220) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 12200 a prime number?
No. 12200 = × × 61, so it is divisible by 2.
What are the factors of 12200?
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 61, 100, 122, 200, 244, 305, 488, 610, 1220, 1525, 2440, 3050, 6100, 12200.
What is 12200 in binary?
10111110101000 (hexadecimal 2FA8, octal 27650).
What is the square root of 12200?
About 110.4536, exactly 10√122.
Is 12200 divisible by 3?
No. Its digits add up to 5, which is not a multiple of 3.
What is special about the number 12200?
12200 is a Harshad number: divisible by its digit sum 5.