12821504 has 44 divisors (see below), whose sum is σ = 27020400. Its totient is φ = 6064128.

The previous prime is 12821503. The next prime is 12821521. The reversal of 12821504 is 40512821.

It is a self number, because there is not a number n which added to its sum of digits gives 12821504.

It is not an unprimeable number, because it can be changed into a prime (12821503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19127 + ... + 19785.

It is an arithmetic number, because the mean of its divisors is an integer number (614100).

Almost surely, 2^12821504 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 12821504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13510200).

12821504 is an abundant number, since it is smaller than the sum of its proper divisors (14198896).

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

12821504 is an equidigital number, since it uses as much as digits as its factorization.

12821504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 12821504 is about 3580.7127782049. The cubic root of 12821504 is about 234.0523417623.

The spelling of 12821504 in words is "twelve million, eight hundred twenty-one thousand, five hundred four".