31920417018112 has 576 divisors, whose sum is σ = 77779300515840. Its totient is φ = 12787775078400.

The previous prime is 31920417018097. The next prime is 31920417018233. The reversal of 31920417018112 is 21181071402913.

It is a super-2 number, since 2×31920417018112² (a number of 28 digits) contains 22 as substring.

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, 117787516537 + ... + 117787516807.

It is an arithmetic number, because the mean of its divisors is an integer number (135033507840).

Almost surely, 2^{31920417018112} is an apocalyptic number.

31920417018112 is a gapful number since it is divisible by the number (32) 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 31920417018112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38889650257920).

31920417018112 is an abundant number, since it is smaller than the sum of its proper divisors (45858883497728).

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

31920417018112 is a wasteful number, since it uses less digits than its factorization.

31920417018112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 40.

The spelling of 31920417018112 in words is "thirty-one trillion, nine hundred twenty billion, four hundred seventeen million, eighteen thousand, one hundred twelve".