31212516960 has 72 divisors (see below), whose sum is σ = 106512719040. Its totient is φ = 8323337472.

The previous prime is 31212516913. The next prime is 31212516989. The reversal of 31212516960 is 6961521213.

31212516960 is a `hidden beast` number, since 31 + 21 + 2 + 516 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10836240 + ... + 10839119.

It is an arithmetic number, because the mean of its divisors is an integer number (1479343320).

Almost surely, 2^31212516960 is an apocalyptic number.

31212516960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31212516960 is an abundant number, since it is smaller than the sum of its proper divisors (75300202080).

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

31212516960 is a wasteful number, since it uses less digits than its factorization.

31212516960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21675380 (or 21675369 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 31212516960 in words is "thirty-one billion, two hundred twelve million, five hundred sixteen thousand, nine hundred sixty".