12802969600 has 78 divisors (see below), whose sum is σ = 31747742630. Its totient is φ = 5121146880.

The previous prime is 12802969583. The next prime is 12802969601. The reversal of 12802969600 is 696920821.

It can be written as a sum of positive squares in 3 ways, for example, as 951599104 + 11851370496 = 30848^2 + 108864^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12802969601) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 39886 + ... + 164914.

Almost surely, 2^12802969600 is an apocalyptic number.

12802969600 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 12802969600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15873871315).

12802969600 is an abundant number, since it is smaller than the sum of its proper divisors (18944773030).

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

12802969600 is an equidigital number, since it uses as much as digits as its factorization.

12802969600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125063 (or 125036 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The spelling of 12802969600 in words is "twelve billion, eight hundred two million, nine hundred sixty-nine thousand, six hundred".