120555792 has 120 divisors (see below), whose sum is σ = 388169600. Its totient is φ = 34214400.

The previous prime is 120555791. The next prime is 120555793. The reversal of 120555792 is 297555021.

120555792 is a `hidden beast` number, since 12 + 0 + 5 + 557 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (120555791) and next prime (120555793).

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

It is not an unprimeable number, because it can be changed into a prime (120555791) 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, 200292 + ... + 200892.

Almost surely, 2^120555792 is an apocalyptic number.

120555792 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 120555792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194084800).

120555792 is an abundant number, since it is smaller than the sum of its proper divisors (267613808).

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

120555792 is a wasteful number, since it uses less digits than its factorization.

120555792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The square root of 120555792 is about 10979.7901619293. The cubic root of 120555792 is about 494.0027427495.

The spelling of 120555792 in words is "one hundred twenty million, five hundred fifty-five thousand, seven hundred ninety-two".