12156376320 has 1296 divisors, whose sum is σ = 53435229120. Its totient is φ = 2627665920.

The previous prime is 12156376279. The next prime is 12156376357. The reversal of 12156376320 is 2367365121.

12156376320 is a `hidden beast` number, since 1 + 2 + 1 + 563 + 76 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 639809271 + ... + 639809289.

Almost surely, 2^12156376320 is an apocalyptic number.

12156376320 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 12156376320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26717614560).

12156376320 is an abundant number, since it is smaller than the sum of its proper divisors (41278852800).

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

12156376320 is a wasteful number, since it uses less digits than its factorization.

12156376320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 12156376320 in words is "twelve billion, one hundred fifty-six million, three hundred seventy-six thousand, three hundred twenty".