12803212800 has 360 divisors, whose sum is σ = 52368057456. Its totient is φ = 2926264320.

The previous prime is 12803212789. The next prime is 12803212879. The reversal of 12803212800 is 821230821.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 798462 + ... + 814338.

Almost surely, 2^12803212800 is an apocalyptic number.

12803212800 is a gapful number since it is divisible by the number (10) 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 12803212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26184028728).

12803212800 is an abundant number, since it is smaller than the sum of its proper divisors (39564844656).

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

12803212800 is a wasteful number, since it uses less digits than its factorization.

12803212800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15918 (or 15894 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 12803212800 in words is "twelve billion, eight hundred three million, two hundred twelve thousand, eight hundred".