120309120 has 96 divisors (see below), whose sum is σ = 415462320. Its totient is φ = 32080896.

The previous prime is 120309103. The next prime is 120309131. The reversal of 120309120 is 21903021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 120309093 and 120309102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4684 + ... + 16203.

Almost surely, 2^120309120 is an apocalyptic number.

120309120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120309120 is an abundant number, since it is smaller than the sum of its proper divisors (295153200).

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

120309120 is a wasteful number, since it uses less digits than its factorization.

120309120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20912 (or 20897 counting only the distinct ones).

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

The square root of 120309120 is about 10968.5514084586. The cubic root of 120309120 is about 493.6655825341.

The spelling of 120309120 in words is "one hundred twenty million, three hundred nine thousand, one hundred twenty".