The number 12122
12122 is a composite number with 16 divisors. Its prime factorisation is 2 × 11 × 19 × 29. Divisors (16): 1, 2, 11, 19, 22, 29, 38, 58, 209, 319, 418, 551, 638, 1102, 6061, 12122.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
12122 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
12122 is composite. Its prime factorisation is
- 3
The divisors add up to 21600; without 12122 itself that is 9478, so 12122 is deficient (9478 is less than 12122). Euler's totient φ(12122) = 5040 numbers up to 12122 share no factor with it.
- 4
The digits of 12122 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12122 = 2 \times 11 \times 19 \times 29 \]
12122 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 21600 |
| Euler totient φ(n) | 5040 |
| Square | 146942884 |
| Cube | 1781241639848 |
| Square root | 110.099955 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 143 |
| Scientific notation | 1.2122 × |
12122 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand one hundred and twenty-two |
| Binary (base 2) | 10111101011010 |
| Octal (base 8) | 27532 |
| Hexadecimal (base 16) | 2F5A |
| Base 3 | 121121222 |
| As time | 12122 seconds = 3 h 22 min 2 s |
Is 12122 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (12122 ÷ 2 = 6061) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 5) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (12122 ÷ 11 = 1102) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 12122 a prime number?
No. 12122 = 2 × 11 × 19 × 29, so it is divisible by 2.
What are the factors of 12122?
1, 2, 11, 19, 22, 29, 38, 58, 209, 319, 418, 551, 638, 1102, 6061, 12122.
What is 12122 in binary?
10111101011010 (hexadecimal 2F5A, octal 27532).
What is the square root of 12122?
About 110.1000.
Is 12122 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 12122?
It is a composite number with 16 divisors.