121575663624960 has 576 divisors, whose sum is σ = 434148543360000. Its totient is φ = 32215914086400.

The previous prime is 121575663624937. The next prime is 121575663625127. The reversal of 121575663624960 is 69426366575121.

121575663624960 is a `hidden beast` number, since 1 + 2 + 1 + 5 + 7 + 566 + 3 + 6 + 2 + 4 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5563838035 + ... + 5563859885.

It is an arithmetic number, because the mean of its divisors is an integer number (753730110000).

Almost surely, 2^{121575663624960} is an apocalyptic number.

121575663624960 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 121575663624960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217074271680000).

121575663624960 is an abundant number, since it is smaller than the sum of its proper divisors (312572879735040).

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

121575663624960 is a wasteful number, since it uses less digits than its factorization.

121575663624960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22889 (or 22869 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 121575663624960 in words is "one hundred twenty-one trillion, five hundred seventy-five billion, six hundred sixty-three million, six hundred twenty-four thousand, nine hundred sixty".