121025952 has 108 divisors (see below), whose sum is σ = 354074994. Its totient is φ = 39202560.

The previous prime is 121025929. The next prime is 121025959. The reversal of 121025952 is 259520121.

It can be written as a sum of positive squares in only one way, i.e., 120033936 + 992016 = 10956^2 + 996^2 .

It is not an unprimeable number, because it can be changed into a prime (121025959) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1458103 + ... + 1458185.

Almost surely, 2^121025952 is an apocalyptic number.

121025952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121025952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177037497).

121025952 is an abundant number, since it is smaller than the sum of its proper divisors (233049042).

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

121025952 is an equidigital number, since it uses as much as digits as its factorization.

121025952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 121025952 is about 11001.1795731185. The cubic root of 121025952 is about 494.6441029159.

The spelling of 121025952 in words is "one hundred twenty-one million, twenty-five thousand, nine hundred fifty-two".