31032112012000 has 384 divisors, whose sum is σ = 86108588092800. Its totient is φ = 10887303168000.

The previous prime is 31032112011949. The next prime is 31032112012019. The reversal of 31032112012000 is 21021123013.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1899955834 + ... + 1899972166.

It is an arithmetic number, because the mean of its divisors is an integer number (224241114825).

Almost surely, 2^{31032112012000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31032112012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43054294046400).

31032112012000 is an abundant number, since it is smaller than the sum of its proper divisors (55076476080800).

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

31032112012000 is a wasteful number, since it uses less digits than its factorization.

31032112012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17887 (or 17869 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 31032112012000 its reverse (21021123013), we get a palindrome (31053133135013).

It can be divided in two parts, 310321 and 12012000, that added together give a palindrome (12322321).

The spelling of 31032112012000 in words is "thirty-one trillion, thirty-two billion, one hundred twelve million, twelve thousand".