12031161053184 has 312 divisors, whose sum is σ = 42772251590432. Its totient is φ = 3173052579840.

The previous prime is 12031161053183. The next prime is 12031161053189. The reversal of 12031161053184 is 48135016113021.

12031161053184 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 1 + 1 + 610 + 5 + 31 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (312).

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

It is not an unprimeable number, because it can be changed into a prime (12031161053183) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1561404 + ... + 5147844.

Almost surely, 2^{12031161053184} is an apocalyptic number.

12031161053184 is a gapful number since it is divisible by the number (14) 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 12031161053184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21386125795216).

12031161053184 is an abundant number, since it is smaller than the sum of its proper divisors (30741090537248).

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

12031161053184 is a wasteful number, since it uses less digits than its factorization.

12031161053184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3586491 (or 3586466 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 12031161053184 in words is "twelve trillion, thirty-one billion, one hundred sixty-one million, fifty-three thousand, one hundred eighty-four".