120972 has 24 divisors (see below), whose sum is σ = 299376. Its totient is φ = 37888.

The previous prime is 120947. The next prime is 120977. The reversal of 120972 is 279021.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (120977) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93 + ... + 500.

It is an arithmetic number, because the mean of its divisors is an integer number (12474).

2¹²⁰⁹⁷² is an apocalyptic number.

120972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120972 is an abundant number, since it is smaller than the sum of its proper divisors (178404).

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

120972 is a wasteful number, since it uses less digits than its factorization.

120972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 120972 is about 347.8102931197. The cubic root of 120972 is about 49.4570589743.

Adding to 120972 its reverse (279021), we get a palindrome (399993).

The spelling of 120972 in words is "one hundred twenty thousand, nine hundred seventy-two".