121972 has 6 divisors (see below), whose sum is σ = 213458. Its totient is φ = 60984.

The previous prime is 121967. The next prime is 121993. The reversal of 121972 is 279121.

It can be written as a sum of positive squares in only one way, i.e., 76176 + 45796 = 276^2 + 214^2 .

It is a congruent number.

It is an unprimeable number.

121972 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15243 + ... + 15250.

2¹²¹⁹⁷² is an apocalyptic number.

It is an amenable number.

121972 is a deficient number, since it is larger than the sum of its proper divisors (91486).

121972 is a wasteful number, since it uses less digits than its factorization.

121972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30497 (or 30495 counting only the distinct ones).

The product of its digits is 252, while the sum is 22.

The square root of 121972 is about 349.2448997480. The cubic root of 121972 is about 49.5929620607.

The spelling of 121972 in words is "one hundred twenty-one thousand, nine hundred seventy-two".