121564980 has 72 divisors (see below), whose sum is σ = 378733992. Its totient is φ = 31539456.

The previous prime is 121564969. The next prime is 121564991. The reversal of 121564980 is 89465121.

121564980 is a `hidden beast` number, since 1 + 2 + 1 + 5 + 649 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (121564969) and next prime (121564991).

It can be written as a sum of positive squares in 4 ways, for example, as 4016016 + 117548964 = 2004^2 + 10842^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2467 + ... + 15786.

Almost surely, 2^121564980 is an apocalyptic number.

121564980 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 121564980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189366996).

121564980 is an abundant number, since it is smaller than the sum of its proper divisors (257169012).

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

121564980 is a wasteful number, since it uses less digits than its factorization.

121564980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18305 (or 18300 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 121564980 is about 11025.6510011881. The cubic root of 121564980 is about 495.3773675787.

The spelling of 121564980 in words is "one hundred twenty-one million, five hundred sixty-four thousand, nine hundred eighty".