123101218068972 has 192 divisors, whose sum is σ = 352143938764800. Its totient is φ = 32934927801600.

The previous prime is 123101218068967. The next prime is 123101218069003. The reversal of 123101218068972 is 279860812101321.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 792084529 + ... + 792239927.

It is an arithmetic number, because the mean of its divisors is an integer number (1834083014400).

Almost surely, 2^{123101218068972} is an apocalyptic number.

123101218068972 is a gapful number since it is divisible by the number (12) 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 123101218068972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176071969382400).

123101218068972 is an abundant number, since it is smaller than the sum of its proper divisors (229042720695828).

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

123101218068972 is a wasteful number, since it uses less digits than its factorization.

123101218068972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175524 (or 175522 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 51.

The spelling of 123101218068972 in words is "one hundred twenty-three trillion, one hundred one billion, two hundred eighteen million, sixty-eight thousand, nine hundred seventy-two".