121792 has 28 divisors (see below), whose sum is σ = 265176. Its totient is φ = 55040.

The previous prime is 121789. The next prime is 121843. The reversal of 121792 is 297121.

121792 = 44² + 45² + ... + 76².

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 618 + ... + 790.

2¹²¹⁷⁹² 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 121792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132588).

121792 is an abundant number, since it is smaller than the sum of its proper divisors (143384).

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

121792 is a wasteful number, since it uses less digits than its factorization.

121792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 186 counting only the distinct ones).

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

The square root of 121792 is about 348.9871057790. The cubic root of 121792 is about 49.5685544700.

The spelling of 121792 in words is "one hundred twenty-one thousand, seven hundred ninety-two".