12109824 has 120 divisors (see below), whose sum is σ = 36666630. Its totient is φ = 3981312.

The previous prime is 12109817. The next prime is 12109843. The reversal of 12109824 is 42890121.

It can be written as a sum of positive squares in only one way, i.e., 10036224 + 2073600 = 3168^2 + 1440^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 165852 + ... + 165924.

Almost surely, 2^12109824 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 12109824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18333315).

12109824 is an abundant number, since it is smaller than the sum of its proper divisors (24556806).

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

12109824 is an frugal number, since it uses more digits than its factorization.

12109824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 12109824 is about 3479.9172403952. The cubic root of 12109824 is about 229.6391569228.

Adding to 12109824 its reverse (42890121), we get a palindrome (54999945).

The spelling of 12109824 in words is "twelve million, one hundred nine thousand, eight hundred twenty-four".