123971290248960 has 2592 divisors, whose sum is σ = 561255147887616. Its totient is φ = 25646019379200.

The previous prime is 123971290248851. The next prime is 123971290248973. The reversal of 123971290248960 is 69842092179321.

123971290248960 is a `hidden beast` number, since 1 + 2 + 3 + 9 + 7 + 1 + 2 + 90 + 2 + 489 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 67706875245 + ... + 67706877075.

Almost surely, 2^{123971290248960} is an apocalyptic number.

123971290248960 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 123971290248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280627573943808).

123971290248960 is an abundant number, since it is smaller than the sum of its proper divisors (437283857638656).

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

123971290248960 is a wasteful number, since it uses less digits than its factorization.

123971290248960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2153 (or 2116 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 123971290248960 in words is "one hundred twenty-three trillion, nine hundred seventy-one billion, two hundred ninety million, two hundred forty-eight thousand, nine hundred sixty".