12395136 has 96 divisors (see below), whose sum is σ = 35838720. Its totient is φ = 3793920.

The previous prime is 12395099. The next prime is 12395147. The reversal of 12395136 is 63159321.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64801 + ... + 64991.

It is an arithmetic number, because the mean of its divisors is an integer number (373320).

Almost surely, 2^12395136 is an apocalyptic number.

12395136 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 12395136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17919360).

12395136 is an abundant number, since it is smaller than the sum of its proper divisors (23443584).

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

12395136 is a wasteful number, since it uses less digits than its factorization.

12395136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 209 counting only the distinct ones).

The product of its digits is 4860, while the sum is 30.

The square root of 12395136 is about 3520.6726630006. The cubic root of 12395136 is about 231.4286376206.

It can be divided in two parts, 123 and 95136, that added together give a palindrome (95259).

The spelling of 12395136 in words is "twelve million, three hundred ninety-five thousand, one hundred thirty-six".