12312013032000 has 672 divisors, whose sum is σ = 48487080470400. Its totient is φ = 2957326848000.

The previous prime is 12312013031971. The next prime is 12312013032023. The reversal of 12312013032000 is 23031021321.

12312013032000 is a `hidden beast` number, since 1 + 2 + 312 + 0 + 1 + 30 + 320 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86256691 + ... + 86399309.

Almost surely, 2^{12312013032000} is an apocalyptic number.

12312013032000 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 12312013032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24243540235200).

12312013032000 is an abundant number, since it is smaller than the sum of its proper divisors (36175067438400).

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

12312013032000 is a wasteful number, since it uses less digits than its factorization.

12312013032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142772 (or 142749 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12312013032000 its reverse (23031021321), we get a palindrome (12335044053321).

The spelling of 12312013032000 in words is "twelve trillion, three hundred twelve billion, thirteen million, thirty-two thousand".