31981168023120 has 160 divisors (see below), whose sum is σ = 110306424758400. Its totient is φ = 8516770707456.

The previous prime is 31981168023053. The next prime is 31981168023157. The reversal of 31981168023120 is 2132086118913.

31981168023120 is a `hidden beast` number, since 319 + 8 + 1 + 1 + 6 + 80 + 231 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 8421417 + ... + 11613896.

It is an arithmetic number, because the mean of its divisors is an integer number (689415154740).

Almost surely, 2^{31981168023120} is an apocalyptic number.

31981168023120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31981168023120 is an abundant number, since it is smaller than the sum of its proper divisors (78325256735280).

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

31981168023120 is a wasteful number, since it uses less digits than its factorization.

31981168023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20036074 (or 20036062 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 31981168023120 in words is "thirty-one trillion, nine hundred eighty-one billion, one hundred sixty-eight million, twenty-three thousand, one hundred twenty".