123088670781120 has 1568 divisors, whose sum is σ = 490822192465920. Its totient is φ = 29132364718080.

The previous prime is 123088670781103. The next prime is 123088670781143. The reversal of 123088670781120 is 21187076880321.

123088670781120 is a `hidden beast` number, since 1 + 2 + 308 + 86 + 70 + 78 + 1 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 60664696266 + ... + 60664698294.

It is an arithmetic number, because the mean of its divisors is an integer number (313024357440).

Almost surely, 2^{123088670781120} is an apocalyptic number.

123088670781120 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 123088670781120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245411096232960).

123088670781120 is an abundant number, since it is smaller than the sum of its proper divisors (367733521684800).

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

123088670781120 is a wasteful number, since it uses less digits than its factorization.

123088670781120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2625 (or 2600 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 123088670781120 in words is "one hundred twenty-three trillion, eighty-eight billion, six hundred seventy million, seven hundred eighty-one thousand, one hundred twenty".