120992 has 24 divisors (see below), whose sum is σ = 252000. Its totient is φ = 57024.

The previous prime is 120977. The next prime is 120997. The reversal of 120992 is 299021.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 120992.

It is not an unprimeable number, because it can be changed into a prime (120997) by changing a digit.

120992 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 509 + ... + 707.

It is an arithmetic number, because the mean of its divisors is an integer number (10500).

2¹²⁰⁹⁹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126000).

120992 is an abundant number, since it is smaller than the sum of its proper divisors (131008).

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

120992 is a wasteful number, since it uses less digits than its factorization.

120992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 120992 is about 347.8390432370. The cubic root of 120992 is about 49.4597843616.

The spelling of 120992 in words is "one hundred twenty thousand, nine hundred ninety-two".