121117209318688 has 96 divisors (see below), whose sum is σ = 263552978646720. Its totient is φ = 54331361525760.

The previous prime is 121117209318643. The next prime is 121117209318737. The reversal of 121117209318688 is 886813902711121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7028403 + ... + 17077261.

It is an arithmetic number, because the mean of its divisors is an integer number (2745343527570).

Almost surely, 2^{121117209318688} 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 121117209318688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131776489323360).

121117209318688 is an abundant number, since it is smaller than the sum of its proper divisors (142435769328032).

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

121117209318688 is a wasteful number, since it uses less digits than its factorization.

121117209318688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10049330 (or 10049322 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 58.

The spelling of 121117209318688 in words is "one hundred twenty-one trillion, one hundred seventeen billion, two hundred nine million, three hundred eighteen thousand, six hundred eighty-eight".