120380160 has 288 divisors, whose sum is σ = 423843840. Its totient is φ = 29016064.

The previous prime is 120380159. The next prime is 120380167. The reversal of 120380160 is 61083021.

It is not an unprimeable number, because it can be changed into a prime (120380167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2561257 + ... + 2561303.

It is an arithmetic number, because the mean of its divisors is an integer number (1471680).

Almost surely, 2^120380160 is an apocalyptic number.

120380160 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 120380160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211921920).

120380160 is an abundant number, since it is smaller than the sum of its proper divisors (303463680).

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

120380160 is a wasteful number, since it uses less digits than its factorization.

120380160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 120380160 is about 10971.7892797848. The cubic root of 120380160 is about 493.7627297898.

The spelling of 120380160 in words is "one hundred twenty million, three hundred eighty thousand, one hundred sixty".