123071793672960 has 4608 divisors, whose sum is σ = 540617056358400. Its totient is φ = 26707596410880.

The previous prime is 123071793672953. The next prime is 123071793672979. The reversal of 123071793672960 is 69276397170321.

It is a happy number.

123071793672960 is a `hidden beast` number, since 1 + 2 + 307 + 1 + 7 + 9 + 36 + 7 + 296 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1836892442847 + ... + 1836892442913.

It is an arithmetic number, because the mean of its divisors is an integer number (117321409800).

Almost surely, 2^{123071793672960} is an apocalyptic number.

123071793672960 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 123071793672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270308528179200).

123071793672960 is an abundant number, since it is smaller than the sum of its proper divisors (417545262685440).

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

123071793672960 is an frugal number, since it uses more digits than its factorization.

123071793672960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 36006768, while the sum is 63.

The spelling of 123071793672960 in words is "one hundred twenty-three trillion, seventy-one billion, seven hundred ninety-three million, six hundred seventy-two thousand, nine hundred sixty".