121761536616 has 96 divisors (see below), whose sum is σ = 338023150920. Its totient is φ = 39572736000.

The previous prime is 121761536597. The next prime is 121761536641. The reversal of 121761536616 is 616635167121.

121761536616 is a `hidden beast` number, since 1 + 2 + 17 + 6 + 15 + 3 + 6 + 616 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 86051875716 + 35709660900 = 293346^2 + 188970^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 5103916 + ... + 5127716.

Almost surely, 2^121761536616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121761536616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169011575460).

121761536616 is an abundant number, since it is smaller than the sum of its proper divisors (216261614304).

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

121761536616 is a wasteful number, since it uses less digits than its factorization.

121761536616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25587 (or 25580 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The spelling of 121761536616 in words is "one hundred twenty-one billion, seven hundred sixty-one million, five hundred thirty-six thousand, six hundred sixteen".