121557792 has 96 divisors (see below), whose sum is σ = 337478400. Its totient is φ = 38248448.

The previous prime is 121557773. The next prime is 121557809. The reversal of 121557792 is 297755121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 121557792.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130384 + ... + 131312.

It is an arithmetic number, because the mean of its divisors is an integer number (3515400).

Almost surely, 2^121557792 is an apocalyptic number.

121557792 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 121557792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168739200).

121557792 is an abundant number, since it is smaller than the sum of its proper divisors (215920608).

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

121557792 is a wasteful number, since it uses less digits than its factorization.

121557792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 1010 counting only the distinct ones).

The product of its digits is 44100, while the sum is 39.

The square root of 121557792 is about 11025.3250292225. The cubic root of 121557792 is about 495.3676036848.

The spelling of 121557792 in words is "one hundred twenty-one million, five hundred fifty-seven thousand, seven hundred ninety-two".