123021232133120 has 176 divisors, whose sum is σ = 303161971563648. Its totient is φ = 47866003292160.

The previous prime is 123021232133089. The next prime is 123021232133153. The reversal of 123021232133120 is 21331232120321.

123021232133120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 123021232133120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 740816819 + ... + 740982861.

Almost surely, 2^{123021232133120} is an apocalyptic number.

123021232133120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123021232133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151580985781824).

123021232133120 is an abundant number, since it is smaller than the sum of its proper divisors (180140739430528).

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

123021232133120 is a wasteful number, since it uses less digits than its factorization.

123021232133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170016 (or 169998 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 123021232133120 its reverse (21331232120321), we get a palindrome (144352464253441).

The spelling of 123021232133120 in words is "one hundred twenty-three trillion, twenty-one billion, two hundred thirty-two million, one hundred thirty-three thousand, one hundred twenty".