12784075600 has 30 divisors (see below), whose sum is σ = 30713742590. Its totient is φ = 5113630080.

The previous prime is 12784075559. The next prime is 12784075607. The reversal of 12784075600 is 657048721.

It can be written as a sum of positive squares in 3 ways, for example, as 58430736 + 12725644864 = 7644^2 + 112808^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12784075607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15979695 + ... + 15980494.

Almost surely, 2^12784075600 is an apocalyptic number.

12784075600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12784075600 is an abundant number, since it is smaller than the sum of its proper divisors (17929666990).

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

12784075600 is a wasteful number, since it uses less digits than its factorization.

12784075600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31960207 (or 31960196 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

The spelling of 12784075600 in words is "twelve billion, seven hundred eighty-four million, seventy-five thousand, six hundred".