123220333031120 has 80 divisors (see below), whose sum is σ = 310595393278800. Its totient is φ = 45191391055872.

The previous prime is 123220333031071. The next prime is 123220333031141. The reversal of 123220333031120 is 21130333022321.

It can be written as a sum of positive squares in 8 ways, for example, as 24436293982864 + 98784039048256 = 4943308^2 + 9939016^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 123220333031120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 397432589 + ... + 397742508.

It is an arithmetic number, because the mean of its divisors is an integer number (3882442415985).

Almost surely, 2^{123220333031120} is an apocalyptic number.

123220333031120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123220333031120 is an abundant number, since it is smaller than the sum of its proper divisors (187375060247680).

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

123220333031120 is a wasteful number, since it uses less digits than its factorization.

123220333031120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795175272 (or 795175266 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 123220333031120 its reverse (21130333022321), we get a palindrome (144350666053441).

The spelling of 123220333031120 in words is "one hundred twenty-three trillion, two hundred twenty billion, three hundred thirty-three million, thirty-one thousand, one hundred twenty".