| Base | Representation |
|---|---|
| bin | 101110011010… |
| … | …101101000000 |
| 3 | 211220012100200 |
| 4 | 232122231000 |
| 5 | 11103334000 |
| 6 | 1112445200 |
| 7 | 205266135 |
| oct | 56325500 |
| 9 | 24805320 |
| 10 | 12168000 |
| 11 | 6960aa9 |
| 12 | 40a9800 |
| 13 | 26a0600 |
| 14 | 188a58c |
| 15 | 1105500 |
| hex | b9ab40 |
12168000 has 252 divisors, whose sum is σ = 47132748. Its totient is φ = 2995200.
The previous prime is 12167993. The next prime is 12168001. The reversal of 12168000 is 86121.
12168000 = 663 + 673 + ... + 903.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 6 ways, for example, as 8573184 + 3594816 = 2928^2 + 1896^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12168001) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 935994 + ... + 936006.
Almost surely, 212168000 is an apocalyptic number.
12168000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 12168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23566374).
12168000 is an abundant number, since it is smaller than the sum of its proper divisors (34964748).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12168000 is a wasteful number, since it uses less digits than its factorization.
12168000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 59 (or 23 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 18.
The square root of 12168000 is about 3488.2660448997. The cubic root of 12168000 is about 230.0063010246.
It can be divided in two parts, 1216 and 8000, that added together give a square (9216 = 962).
The spelling of 12168000 in words is "twelve million, one hundred sixty-eight thousand".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.078 sec. • engine limits •