123253776624000 has 1024 divisors, whose sum is σ = 462229230827520. Its totient is φ = 28789420032000.

The previous prime is 123253776623987. The next prime is 123253776624049. The reversal of 123253776624000 is 426677352321.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2012177374 + ... + 2012238626.

It is an arithmetic number, because the mean of its divisors is an integer number (451395733230).

Almost surely, 2^{123253776624000} is an apocalyptic number.

123253776624000 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 123253776624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231114615413760).

123253776624000 is an abundant number, since it is smaller than the sum of its proper divisors (338975454203520).

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

123253776624000 is a wasteful number, since it uses less digits than its factorization.

123253776624000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61436 (or 61414 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 48.

The spelling of 123253776624000 in words is "one hundred twenty-three trillion, two hundred fifty-three billion, seven hundred seventy-six million, six hundred twenty-four thousand".