12819135 has 48 divisors (see below), whose sum is σ = 24230016. Its totient is φ = 5769792.

The previous prime is 12819083. The next prime is 12819137. The reversal of 12819135 is 53191821.

12819135 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12819135 - 2⁷ = 12819007 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12819137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78564 + ... + 78726.

It is an arithmetic number, because the mean of its divisors is an integer number (504792).

Almost surely, 2^12819135 is an apocalyptic number.

12819135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12819135 is a deficient number, since it is larger than the sum of its proper divisors (11410881).

12819135 is a wasteful number, since it uses less digits than its factorization.

With its successor (12819136) it forms an eRAP, since the sums of their prime factors are consecutive (292 and 293).

12819135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 285 counting only the distinct ones).

The product of its digits is 2160, while the sum is 30.

The square root of 12819135 is about 3580.3819628637. The cubic root of 12819135 is about 234.0379257690.

The spelling of 12819135 in words is "twelve million, eight hundred nineteen thousand, one hundred thirty-five".