120389120 has 160 divisors (see below), whose sum is σ = 313479936. Its totient is φ = 44236800.

The previous prime is 120389117. The next prime is 120389147. The reversal of 120389120 is 21983021.

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 120389120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2936300 + ... + 2936340.

Almost surely, 2^120389120 is an apocalyptic number.

120389120 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 120389120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156739968).

120389120 is an abundant number, since it is smaller than the sum of its proper divisors (193090816).

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

120389120 is an equidigital number, since it uses as much as digits as its factorization.

120389120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 120389120 is about 10972.1975920961. The cubic root of 120389120 is about 493.7749798824.

The spelling of 120389120 in words is "one hundred twenty million, three hundred eighty-nine thousand, one hundred twenty".