121265664 has 80 divisors (see below), whose sum is σ = 347967312. Its totient is φ = 37306368.

The previous prime is 121265653. The next prime is 121265681. The reversal of 121265664 is 466562121.

It is a super-2 number, since 2×121265664² = 29410722530721792, which contains 22 as substring.

It is a congruent number.

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, 16932 + ... + 23004.

Almost surely, 2^121265664 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 121265664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173983656).

121265664 is an abundant number, since it is smaller than the sum of its proper divisors (226701648).

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

121265664 is an equidigital number, since it uses as much as digits as its factorization.

121265664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6107 (or 6091 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 121265664 is about 11012.0690154031. The cubic root of 121265664 is about 494.9704624758.

The spelling of 121265664 in words is "one hundred twenty-one million, two hundred sixty-five thousand, six hundred sixty-four".