120364992 has 168 divisors, whose sum is σ = 381896112. Its totient is φ = 36241920.

The previous prime is 120364991. The next prime is 120364999. The reversal of 120364992 is 299463021.

120364992 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 649 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120364991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 766578 + ... + 766734.

Almost surely, 2^120364992 is an apocalyptic number.

120364992 is a gapful number since it is divisible by the number (12) 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 120364992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190948056).

120364992 is an abundant number, since it is smaller than the sum of its proper divisors (261531120).

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

120364992 is a wasteful number, since it uses less digits than its factorization.

120364992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 120364992 is about 10971.0980307351. The cubic root of 120364992 is about 493.7419907476.

The spelling of 120364992 in words is "one hundred twenty million, three hundred sixty-four thousand, nine hundred ninety-two".