121611264 has 88 divisors (see below), whose sum is σ = 334856448. Its totient is φ = 39198720.

The previous prime is 121611253. The next prime is 121611271. The reversal of 121611264 is 462116121.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

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, 94594 + ... + 95870.

Almost surely, 2^121611264 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 121611264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167428224).

121611264 is an abundant number, since it is smaller than the sum of its proper divisors (213245184).

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

121611264 is a wasteful number, since it uses less digits than its factorization.

121611264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1313 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 121611264 is about 11027.7497251252. The cubic root of 121611264 is about 495.4402287110.

Adding to 121611264 its reverse (462116121), we get a palindrome (583727385).

The spelling of 121611264 in words is "one hundred twenty-one million, six hundred eleven thousand, two hundred sixty-four".