12115584 has 96 divisors (see below), whose sum is σ = 37592100. Its totient is φ = 3723264.

The previous prime is 12115573. The next prime is 12115589. The reversal of 12115584 is 48551121.

It can be written as a sum of positive squares in 2 ways, for example, as 12110400 + 5184 = 3480^2 + 72^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×12115584² = 293574751322112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12115589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14572 + ... + 15380.

Almost surely, 2^12115584 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 12115584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18796050).

12115584 is an abundant number, since it is smaller than the sum of its proper divisors (25476516).

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

12115584 is a wasteful number, since it uses less digits than its factorization.

12115584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 827 counting only the distinct ones).

The product of its digits is 1600, while the sum is 27.

The square root of 12115584 is about 3480.7447478952. The cubic root of 12115584 is about 229.6755602012.

The spelling of 12115584 in words is "twelve million, one hundred fifteen thousand, five hundred eighty-four".