121074635505664 has 57 divisors (see below), whose sum is σ = 242160077124451. Its totient is φ = 60534500884480.

The previous prime is 121074635505647. The next prime is 121074635505667. The reversal of 121074635505664 is 466505536470121.

The square root of 121074635505664 is 11003392.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121074635505667) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 5633725959 + ... + 5633747449.

Almost surely, 2^{121074635505664} is an apocalyptic number.

121074635505664 is the 11003392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121074635505664

121074635505664 is an abundant number, since it is smaller than the sum of its proper divisors (121085441618787).

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

121074635505664 is an frugal number, since it uses more digits than its factorization.

121074635505664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43018 (or 21493 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 55.

The spelling of 121074635505664 in words is "one hundred twenty-one trillion, seventy-four billion, six hundred thirty-five million, five hundred five thousand, six hundred sixty-four".