121359664 has 40 divisors (see below), whose sum is σ = 244314720. Its totient is φ = 58399040.

The previous prime is 121359643. The next prime is 121359691. The reversal of 121359664 is 466953121.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 390069 + ... + 390379.

It is an arithmetic number, because the mean of its divisors is an integer number (6107868).

Almost surely, 2^121359664 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 121359664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122157360).

121359664 is an abundant number, since it is smaller than the sum of its proper divisors (122955056).

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

121359664 is an frugal number, since it uses more digits than its factorization.

121359664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 342 counting only the distinct ones).

The product of its digits is 38880, while the sum is 37.

The square root of 121359664 is about 11016.3362330677. The cubic root of 121359664 is about 495.0983228147.

The spelling of 121359664 in words is "one hundred twenty-one million, three hundred fifty-nine thousand, six hundred sixty-four".