120992256 has 360 divisors, whose sum is σ = 452804352. Its totient is φ = 30412800.

The previous prime is 120992251. The next prime is 120992297. The reversal of 120992256 is 652299021.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 120992256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120992251) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3902961 + ... + 3902991.

Almost surely, 2^120992256 is an apocalyptic number.

120992256 is a gapful number since it is divisible by the number (16) 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 120992256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226402176).

120992256 is an abundant number, since it is smaller than the sum of its proper divisors (331812096).

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

120992256 is a wasteful number, since it uses less digits than its factorization.

120992256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 120992256 is about 10999.6479943678. The cubic root of 120992256 is about 494.5981924465.

The spelling of 120992256 in words is "one hundred twenty million, nine hundred ninety-two thousand, two hundred fifty-six".