123063509368800 has 5760 divisors, whose sum is σ = 635209344000000. Its totient is φ = 22824861696000.

The previous prime is 123063509368727. The next prime is 123063509368823. The reversal of 123063509368800 is 8863905360321.

It is a happy number.

123063509368800 is a `hidden beast` number, since 1 + 23 + 0 + 6 + 3 + 509 + 36 + 8 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 98529630576 + ... + 98529631824.

It is an arithmetic number, because the mean of its divisors is an integer number (110279400000).

Almost surely, 2^{123063509368800} is an apocalyptic number.

123063509368800 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 123063509368800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317604672000000).

123063509368800 is an abundant number, since it is smaller than the sum of its proper divisors (512145834631200).

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

123063509368800 is a wasteful number, since it uses less digits than its factorization.

123063509368800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 123063509368800 in words is "one hundred twenty-three trillion, sixty-three billion, five hundred nine million, three hundred sixty-eight thousand, eight hundred".