123641672908800 has 720 divisors, whose sum is σ = 419858827315200. Its totient is φ = 32093464166400.

The previous prime is 123641672908783. The next prime is 123641672908813. The reversal of 123641672908800 is 8809276146321.

It is a happy 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 47 ways as a sum of consecutive naturals, for example, 6892330231 + ... + 6892348169.

It is an arithmetic number, because the mean of its divisors is an integer number (583137260160).

Almost surely, 2^{123641672908800} is an apocalyptic number.

123641672908800 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 123641672908800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209929413657600).

123641672908800 is an abundant number, since it is smaller than the sum of its proper divisors (296217154406400).

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

123641672908800 is an equidigital number, since it uses as much as digits as its factorization.

123641672908800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18130 (or 18099 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 123641672908800 in words is "one hundred twenty-three trillion, six hundred forty-one billion, six hundred seventy-two million, nine hundred eight thousand, eight hundred".