121874560 has 64 divisors (see below), whose sum is σ = 296936280. Its totient is φ = 47816704.

The previous prime is 121874551. The next prime is 121874561. The reversal of 121874560 is 65478121.

It can be written as a sum of positive squares in 4 ways, for example, as 99520576 + 22353984 = 9976^2 + 4728^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (121874561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32124 + ... + 35716.

Almost surely, 2^121874560 is an apocalyptic number.

121874560 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 121874560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148468140).

121874560 is an abundant number, since it is smaller than the sum of its proper divisors (175061720).

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

121874560 is an equidigital number, since it uses as much as digits as its factorization.

121874560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3665 (or 3653 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 121874560 is about 11039.6811548160. The cubic root of 121874560 is about 495.7975240167.

The spelling of 121874560 in words is "one hundred twenty-one million, eight hundred seventy-four thousand, five hundred sixty".