12832747200 has 756 divisors, whose sum is σ = 57179413200. Its totient is φ = 2705633280.

The previous prime is 12832747189. The next prime is 12832747229. The reversal of 12832747200 is 274723821.

12832747200 is a `hidden beast` number, since 128 + 327 + 4 + 7 + 200 = 666.

12832747200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 9172101 + ... + 9173499.

Almost surely, 2^12832747200 is an apocalyptic number.

12832747200 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 12832747200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28589706600).

12832747200 is an abundant number, since it is smaller than the sum of its proper divisors (44346666000).

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

12832747200 is a wasteful number, since it uses less digits than its factorization.

12832747200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 12832747200 in words is "twelve billion, eight hundred thirty-two million, seven hundred forty-seven thousand, two hundred".