121525920 has 120 divisors (see below), whose sum is σ = 428930964. Its totient is φ = 32403456.

The previous prime is 121525909. The next prime is 121525931. The reversal of 121525920 is 29525121.

121525920 is a `hidden beast` number, since 1 + 21 + 52 + 592 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (121525909) and next prime (121525931).

It can be written as a sum of positive squares in 2 ways, for example, as 111260304 + 10265616 = 10548^2 + 3204^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8272 + ... + 17648.

Almost surely, 2^121525920 is an apocalyptic number.

121525920 is a gapful number since it is divisible by the number (10) 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 121525920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214465482).

121525920 is an abundant number, since it is smaller than the sum of its proper divisors (307405044).

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

121525920 is an equidigital number, since it uses as much as digits as its factorization.

121525920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9404 (or 9387 counting only the distinct ones).

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

The square root of 121525920 is about 11023.8795349006. The cubic root of 121525920 is about 495.3243053872.

The spelling of 121525920 in words is "one hundred twenty-one million, five hundred twenty-five thousand, nine hundred twenty".