The number 12011
12011 is the 1440th prime number. Its only divisors are 1 and 12011.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 12011: the 1440th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
12011 is prime, so its only factors are 1 and 12011. It is the 1440th prime; the next prime is 12037 and the one before is 12007.
- 3
The divisors add up to 12012; without 12011 itself that is 1, so 12011 is deficient (1 is less than 12011). Euler's totient φ(12011) = 12010 numbers up to 12011 share no factor with it.
- 4
The digits of 12011 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 42 steps to reach 1.
12011 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 12012 |
| Euler totient φ(n) | 12010 |
| Square | 144264121 |
| Cube | 1732756357331 |
| Square root | 109.594708 |
| Digit sum / digital root | 5 / 5 |
| Collatz steps to 1 | 42 |
| Scientific notation | 1.2011 × |
12011 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand and eleven |
| Binary (base 2) | 10111011101011 |
| Octal (base 8) | 27353 |
| Hexadecimal (base 16) | 2EEB |
| Base 3 | 121110212 |
| As time | 12011 seconds = 3 h 20 min 11 s |
Is 12011 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 | No (remainder 3) | 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 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 12011 a prime number?
Yes. 12011 is divisible only by 1 and itself.
What are the factors of 12011?
1, 12011.
What is 12011 in binary?
10111011101011 (hexadecimal 2EEB, octal 27353).
What is the square root of 12011?
About 109.5947.
Is 12011 divisible by 3?
No. Its digits add up to 5, which is not a multiple of 3.
What is special about the number 12011?
12011 is the 1440th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.