123120320102032 has 80 divisors (see below), whose sum is σ = 266272832894400. Its totient is φ = 54676903564800.

The previous prime is 123120320102009. The next prime is 123120320102071. The reversal of 123120320102032 is 230201023021321.

It is a super-2 number, since 2×123120320102032² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 123120320101994 and 123120320102012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36883518 + ... + 40082845.

It is an arithmetic number, because the mean of its divisors is an integer number (3328410411180).

Almost surely, 2^{123120320102032} is an apocalyptic number.

It is an amenable number.

123120320102032 is an abundant number, since it is smaller than the sum of its proper divisors (143152512792368).

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

123120320102032 is a wasteful number, since it uses less digits than its factorization.

123120320102032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76966592 (or 76966586 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 123120320102032 its reverse (230201023021321), we get a palindrome (353321343123353).

The spelling of 123120320102032 in words is "one hundred twenty-three trillion, one hundred twenty billion, three hundred twenty million, one hundred two thousand, thirty-two".