120388800 has 168 divisors, whose sum is σ = 451526656. Its totient is φ = 27509760.

The previous prime is 120388799. The next prime is 120388819. The reversal of 120388800 is 8883021.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31809 + ... + 35391.

Almost surely, 2^120388800 is an apocalyptic number.

120388800 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 120388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225763328).

120388800 is an abundant number, since it is smaller than the sum of its proper divisors (331137856).

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

120388800 is a wasteful number, since it uses less digits than its factorization.

120388800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3615 (or 3600 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 120388800 is about 10972.1830097752. The cubic root of 120388800 is about 493.7745423895.

It can be divided in two parts, 120 and 388800, that multiplied together give a cube (46656000 = 360³).

The spelling of 120388800 in words is "one hundred twenty million, three hundred eighty-eight thousand, eight hundred".