120064000 has 192 divisors, whose sum is σ = 347518080. Its totient is φ = 40550400.

The previous prime is 120063967. The next prime is 120064037. The reversal of 120064000 is 460021.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1791967 + ... + 1792033.

It is an arithmetic number, because the mean of its divisors is an integer number (1809990).

Almost surely, 2^120064000 is an apocalyptic number.

120064000 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 120064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173759040).

120064000 is an abundant number, since it is smaller than the sum of its proper divisors (227454080).

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

120064000 is an frugal number, since it uses more digits than its factorization.

120064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 120064000 is about 10957.3719476889. The cubic root of 120064000 is about 493.3300868222.

The spelling of 120064000 in words is "one hundred twenty million, sixty-four thousand".