12382496 has 72 divisors (see below), whose sum is σ = 29087100. Its totient is φ = 5171712.

The previous prime is 12382493. The next prime is 12382519. The reversal of 12382496 is 69428321.

It can be written as a sum of positive squares in 2 ways, for example, as 12250000 + 132496 = 3500^2 + 364^2 .

It is not an unprimeable number, because it can be changed into a prime (12382493) 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, 83030 + ... + 83178.

Almost surely, 2^12382496 is an apocalyptic number.

12382496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12382496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14543550).

12382496 is an abundant number, since it is smaller than the sum of its proper divisors (16704604).

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

12382496 is a wasteful number, since it uses less digits than its factorization.

12382496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 211 counting only the distinct ones).

The product of its digits is 20736, while the sum is 35.

The square root of 12382496 is about 3518.8770936195. The cubic root of 12382496 is about 231.3499440402.

The spelling of 12382496 in words is "twelve million, three hundred eighty-two thousand, four hundred ninety-six".