12135456 has 72 divisors (see below), whose sum is σ = 35724780. Its totient is φ = 3902976.

The previous prime is 12135451. The next prime is 12135469. The reversal of 12135456 is 65453121.

It can be written as a sum of positive squares in 2 ways, for example, as 10890000 + 1245456 = 3300^2 + 1116^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (12135451) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7626 + ... + 9078.

Almost surely, 2^12135456 is an apocalyptic number.

12135456 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 12135456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17862390).

12135456 is an abundant number, since it is smaller than the sum of its proper divisors (23589324).

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

12135456 is a wasteful number, since it uses less digits than its factorization.

12135456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 1487 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 12135456 is about 3483.5981398548. The cubic root of 12135456 is about 229.8010630150.

Adding to 12135456 its reverse (65453121), we get a palindrome (77588577).

The spelling of 12135456 in words is "twelve million, one hundred thirty-five thousand, four hundred fifty-six".