31002120120 has 32 divisors (see below), whose sum is σ = 93006360720. Its totient is φ = 8267232000.

The previous prime is 31002120113. The next prime is 31002120133. The reversal of 31002120120 is 2102120013.

It is a super-2 number, since 2×31002120120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 31002120096 and 31002120105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129175381 + ... + 129175620.

Almost surely, 2^31002120120 is an apocalyptic number.

31002120120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31002120120 is an abundant number, since it is smaller than the sum of its proper divisors (62004240600).

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

31002120120 is a wasteful number, since it uses less digits than its factorization.

31002120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258351015 (or 258351011 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 31002120120 its reverse (2102120013), we get a palindrome (33104240133).

The spelling of 31002120120 in words is "thirty-one billion, two million, one hundred twenty thousand, one hundred twenty".