121107264 has 56 divisors (see below), whose sum is σ = 327903840. Its totient is φ = 39427584.

The previous prime is 121107263. The next prime is 121107271. The reversal of 121107264 is 462701121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121107263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 922 + ... + 15590.

Almost surely, 2^121107264 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 121107264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163951920).

121107264 is an abundant number, since it is smaller than the sum of its proper divisors (206796576).

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

121107264 is a wasteful number, since it uses less digits than its factorization.

121107264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14727 (or 14717 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 121107264 is about 11004.8745563046. The cubic root of 121107264 is about 494.7548546363.

Adding to 121107264 its reverse (462701121), we get a palindrome (583808385).

The spelling of 121107264 in words is "one hundred twenty-one million, one hundred seven thousand, two hundred sixty-four".