120384264 has 128 divisors (see below), whose sum is σ = 404167680. Its totient is φ = 28857600.

The previous prime is 120384233. The next prime is 120384281. The reversal of 120384264 is 462483021.

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 31 ways as a sum of consecutive naturals, for example, 21519 + ... + 26529.

It is an arithmetic number, because the mean of its divisors is an integer number (3157560).

Almost surely, 2^120384264 is an apocalyptic number.

120384264 is a gapful number since it is divisible by the number (14) 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 120384264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202083840).

120384264 is an abundant number, since it is smaller than the sum of its proper divisors (283783416).

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

120384264 is a wasteful number, since it uses less digits than its factorization.

120384264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5051 (or 5047 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 120384264 is about 10971.9763032919. The cubic root of 120384264 is about 493.7683408452.

The spelling of 120384264 in words is "one hundred twenty million, three hundred eighty-four thousand, two hundred sixty-four".