120123712800 has 1080 divisors, whose sum is σ = 542468779776. Its totient is φ = 25328609280.

The previous prime is 120123712771. The next prime is 120123712837. The reversal of 120123712800 is 8217321021.

120123712800 is a `hidden beast` number, since 1 + 2 + 0 + 12 + 371 + 280 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 76657617 + ... + 76659183.

Almost surely, 2^120123712800 is an apocalyptic number.

120123712800 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 120123712800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271234389888).

120123712800 is an abundant number, since it is smaller than the sum of its proper divisors (422345066976).

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

120123712800 is a wasteful number, since it uses less digits than its factorization.

120123712800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 120123712800 in words is "one hundred twenty billion, one hundred twenty-three million, seven hundred twelve thousand, eight hundred".