121952 has 24 divisors (see below), whose sum is σ = 248976. Its totient is φ = 58752.

The previous prime is 121951. The next prime is 121963. The reversal of 121952 is 259121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121951) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1133 + ... + 1235.

It is an arithmetic number, because the mean of its divisors is an integer number (10374).

2¹²¹⁹⁵² 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 121952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124488).

121952 is an abundant number, since it is smaller than the sum of its proper divisors (127024).

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

121952 is a wasteful number, since it uses less digits than its factorization.

121952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 142 counting only the distinct ones).

The product of its digits is 180, while the sum is 20.

The square root of 121952 is about 349.2162653715. The cubic root of 121952 is about 49.5902512925.

The spelling of 121952 in words is "one hundred twenty-one thousand, nine hundred fifty-two".