123120013212031 has 64 divisors (see below), whose sum is σ = 144640653889536. Its totient is φ = 103698266918400.

The previous prime is 123120013212023. The next prime is 123120013212041. The reversal of 123120013212031 is 130212310021321.

It is not a de Polignac number, because 123120013212031 - 2³ = 123120013212023 is a prime.

It is a super-2 number, since 2×123120013212031² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 123120013211993 and 123120013212011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123120013212041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 296655495 + ... + 297070231.

It is an arithmetic number, because the mean of its divisors is an integer number (2260010217024).

Almost surely, 2^{123120013212031} is an apocalyptic number.

123120013212031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

123120013212031 is a deficient number, since it is larger than the sum of its proper divisors (21520640677505).

123120013212031 is a wasteful number, since it uses less digits than its factorization.

123120013212031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415132.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 123120013212031 its reverse (130212310021321), we get a palindrome (253332323233352).

The spelling of 123120013212031 in words is "one hundred twenty-three trillion, one hundred twenty billion, thirteen million, two hundred twelve thousand, thirty-one".