12841312 has 36 divisors (see below), whose sum is σ = 27724788. Its totient is φ = 5806400.

The previous prime is 12841289. The next prime is 12841313. The reversal of 12841312 is 21314821.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12841313) 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 5 ways as a sum of consecutive naturals, for example, 67137 + ... + 67327.

It is an arithmetic number, because the mean of its divisors is an integer number (770133).

Almost surely, 2^12841312 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 12841312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13862394).

12841312 is an abundant number, since it is smaller than the sum of its proper divisors (14883476).

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

12841312 is an equidigital number, since it uses as much as digits as its factorization.

12841312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 204 counting only the distinct ones).

The product of its digits is 384, while the sum is 22.

The square root of 12841312 is about 3583.4776405051. The cubic root of 12841312 is about 234.1728092567.

Multiplying 12841312 by its sum of digits (22), we get a square (282508864 = 16808²).

12841312 divided by its sum of digits (22) gives a square (583696 = 764²).

The spelling of 12841312 in words is "twelve million, eight hundred forty-one thousand, three hundred twelve".