123609628800 has 576 divisors, whose sum is σ = 522769665600. Its totient is φ = 28252385280.

The previous prime is 123609628799. The next prime is 123609628817. The reversal of 123609628800 is 8826906321.

123609628800 is a `hidden beast` number, since 1 + 2 + 360 + 9 + 6 + 288 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5431846 + ... + 5454554.

It is an arithmetic number, because the mean of its divisors is an integer number (907586225).

Almost surely, 2^123609628800 is an apocalyptic number.

123609628800 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 123609628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261384832800).

123609628800 is an abundant number, since it is smaller than the sum of its proper divisors (399160036800).

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

123609628800 is an equidigital number, since it uses as much as digits as its factorization.

123609628800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22755 (or 22726 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 123609628800 in words is "one hundred twenty-three billion, six hundred nine million, six hundred twenty-eight thousand, eight hundred".