The number 12020
12020 is a composite number with 12 divisors. Its prime factorisation is × 5 × 601. Divisors (12): 1, 2, 4, 5, 10, 20, 601, 1202, 2404, 3005, 6010, 12020.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 12020: a Harshad number: divisible by its digit sum 5.
- 2
12020 is composite. Its prime factorisation is
- 3
The divisors add up to 25284; without 12020 itself that is 13264, so 12020 is abundant (13264 is more than 12020). Euler's totient φ(12020) = 4800 numbers up to 12020 share no factor with it.
- 4
The digits of 12020 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 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12020 = 2^{2} \times 5 \times 601 \]12020 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 25284 |
| Euler totient φ(n) | 4800 |
| Square | 144480400 |
| Cube | 1736654408000 |
| Square root | 109.635761 (= 2√3005) |
| Digit sum / digital root | 5 / 5 |
| Collatz steps to 1 | 143 |
| Scientific notation | 1.202 × |
12020 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand and twenty |
| Binary (base 2) | 10111011110100 |
| Octal (base 8) | 27364 |
| Hexadecimal (base 16) | 2EF4 |
| Base 3 | 121111012 |
| As time | 12020 seconds = 3 h 20 min 20 s |
Is 12020 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (12020 ÷ 2 = 6010) | 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 (12020 ÷ 4 = 3005) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (12020 ÷ 5 = 2404) | 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 1) | 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 4) | 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 (12020 ÷ 10 = 1202) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 12020 a prime number?
No. 12020 = × 5 × 601, so it is divisible by 2.
What are the factors of 12020?
1, 2, 4, 5, 10, 20, 601, 1202, 2404, 3005, 6010, 12020.
What is 12020 in binary?
10111011110100 (hexadecimal 2EF4, octal 27364).
What is the square root of 12020?
About 109.6358, exactly 2√3005.
Is 12020 divisible by 3?
No. Its digits add up to 5, which is not a multiple of 3.
What is special about the number 12020?
12020 is a Harshad number: divisible by its digit sum 5.