120368000 has 64 divisors (see below), whose sum is σ = 299304720. Its totient is φ = 48140800.

The previous prime is 120367991. The next prime is 120368047. The reversal of 120368000 is 863021.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12239 + ... + 19761.

Almost surely, 2^120368000 is an apocalyptic number.

120368000 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 120368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149652360).

120368000 is an abundant number, since it is smaller than the sum of its proper divisors (178936720).

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

120368000 is an frugal number, since it uses more digits than its factorization.

120368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7552 (or 7530 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 120368000 is about 10971.2351173421. The cubic root of 120368000 is about 493.7461036919.

The spelling of 120368000 in words is "one hundred twenty million, three hundred sixty-eight thousand".