31204033112000 has 224 divisors, whose sum is σ = 88685891573760. Its totient is φ = 10653757363200.

The previous prime is 31204033111973. The next prime is 31204033112003. The reversal of 31204033112000 is 21133040213.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31204033112003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 12218279 + ... + 14549721.

Almost surely, 2^{31204033112000} 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 31204033112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44342945786880).

31204033112000 is an abundant number, since it is smaller than the sum of its proper divisors (57481858461760).

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

31204033112000 is a wasteful number, since it uses less digits than its factorization.

31204033112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2331716 (or 2331696 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 31204033112000 its reverse (21133040213), we get a palindrome (31225166152213).

The spelling of 31204033112000 in words is "thirty-one trillion, two hundred four billion, thirty-three million, one hundred twelve thousand".