12829312 has 32 divisors (see below), whose sum is σ = 25927380. Its totient is φ = 6322176.

The previous prime is 12829303. The next prime is 12829379. The reversal of 12829312 is 21392821.

It can be written as a sum of positive squares in 2 ways, for example, as 11128896 + 1700416 = 3336^2 + 1304^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8658 + ... + 10030.

Almost surely, 2^12829312 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 12829312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12963690).

12829312 is an abundant number, since it is smaller than the sum of its proper divisors (13098068).

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

12829312 is an equidigital number, since it uses as much as digits as its factorization.

12829312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460 (or 1448 counting only the distinct ones).

The product of its digits is 1728, while the sum is 28.

The square root of 12829312 is about 3581.8028979831. The cubic root of 12829312 is about 234.0998429459.

The spelling of 12829312 in words is "twelve million, eight hundred twenty-nine thousand, three hundred twelve".