12162615376320 has 896 divisors, whose sum is σ = 45525357158400. Its totient is φ = 3053017497600.

The previous prime is 12162615376309. The next prime is 12162615376333. The reversal of 12162615376320 is 2367351626121.

12162615376320 is a `hidden beast` number, since 1 + 2 + 1 + 6 + 2 + 6 + 1 + 5 + 3 + 7 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1182093736 + ... + 1182104024.

It is an arithmetic number, because the mean of its divisors is an integer number (50809550400).

Almost surely, 2^{12162615376320} is an apocalyptic number.

12162615376320 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 12162615376320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22762678579200).

12162615376320 is an abundant number, since it is smaller than the sum of its proper divisors (33362741782080).

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

12162615376320 is a wasteful number, since it uses less digits than its factorization.

12162615376320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10474 (or 10458 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 12162615376320 in words is "twelve trillion, one hundred sixty-two billion, six hundred fifteen million, three hundred seventy-six thousand, three hundred twenty".