| Base | Representation |
|---|---|
| bin | 101110010111… |
| … | …110001100000 |
| 3 | 211212120220020 |
| 4 | 232113301200 |
| 5 | 11102443000 |
| 6 | 1112313440 |
| 7 | 205216143 |
| oct | 56276140 |
| 9 | 24776806 |
| 10 | 12156000 |
| 11 | 6952a8a |
| 12 | 40a2880 |
| 13 | 2697ccc |
| 14 | 188605a |
| 15 | 1101ba0 |
| hex | b97c60 |
12156000 has 96 divisors (see below), whose sum is σ = 39862368. Its totient is φ = 3238400.
The previous prime is 12155993. The next prime is 12156013. The reversal of 12156000 is 65121.
12156000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (96).
It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11494 + ... + 12506.
It is an arithmetic number, because the mean of its divisors is an integer number (415233).
Almost surely, 212156000 is an apocalyptic number.
12156000 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 12156000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19931184).
12156000 is an abundant number, since it is smaller than the sum of its proper divisors (27706368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12156000 is a wasteful number, since it uses less digits than its factorization.
12156000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1041 (or 1023 counting only the distinct ones).
The product of its (nonzero) digits is 60, while the sum is 15.
The square root of 12156000 is about 3486.5455683240. The cubic root of 12156000 is about 229.9306659317.
It can be divided in two parts, 1215 and 6000, that multiplied together give a square (7290000 = 27002).
The spelling of 12156000 in words is "twelve million, one hundred fifty-six thousand".
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