12156480 has 280 divisors, whose sum is σ = 50157888. Its totient is φ = 2737152.

The previous prime is 12156467. The next prime is 12156497. The reversal of 12156480 is 8465121.

12156480 is a `hidden beast` number, since 1 + 2 + 15 + 648 + 0 = 666.

12156480 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 (280).

It is a super-3 number, since 3×12156480³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 181407 + ... + 181473.

Almost surely, 2^12156480 is an apocalyptic number.

12156480 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 12156480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25078944).

12156480 is an abundant number, since it is smaller than the sum of its proper divisors (38001408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12156480 is an equidigital number, since it uses as much as digits as its factorization.

12156480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 12156480 is about 3486.6144036873. The cubic root of 12156480 is about 229.9336922909.

The spelling of 12156480 in words is "twelve million, one hundred fifty-six thousand, four hundred eighty".