123120113013345 has 32 divisors (see below), whose sum is σ = 225139414671360. Its totient is φ = 56282106801600.

The previous prime is 123120113013319. The next prime is 123120113013367. The reversal of 123120113013345 is 543310311021321.

It is a de Polignac number, because none of the positive numbers 2^k-123120113013345 is a prime.

It is a super-2 number, since 2×123120113013345² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9976981 + ... + 18595170.

It is an arithmetic number, because the mean of its divisors is an integer number (7035606708480).

Almost surely, 2^{123120113013345} is an apocalyptic number.

123120113013345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

123120113013345 is a deficient number, since it is larger than the sum of its proper divisors (102019301658015).

123120113013345 is a wasteful number, since it uses less digits than its factorization.

123120113013345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28613205.

The product of its (nonzero) digits is 6480, while the sum is 30.

Adding to 123120113013345 its reverse (543310311021321), we get a palindrome (666430424034666).

The spelling of 123120113013345 in words is "one hundred twenty-three trillion, one hundred twenty billion, one hundred thirteen million, thirteen thousand, three hundred forty-five".