120096000 has 288 divisors, whose sum is σ = 446409600. Its totient is φ = 31795200.

The previous prime is 120095999. The next prime is 120096013. The reversal of 120096000 is 690021.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 863931 + ... + 864069.

Almost surely, 2^120096000 is an apocalyptic number.

120096000 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 120096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223204800).

120096000 is an abundant number, since it is smaller than the sum of its proper divisors (326313600).

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

120096000 is an equidigital number, since it uses as much as digits as its factorization.

120096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 120096000 is about 10958.8320545576. The cubic root of 120096000 is about 493.3739111173.

The spelling of 120096000 in words is "one hundred twenty million, ninety-six thousand".