12832814600 has 24 divisors (see below), whose sum is σ = 29836294410. Its totient is φ = 5133125760.

The previous prime is 12832814569. The next prime is 12832814611. The reversal of 12832814600 is 641823821.

12832814600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 10658084644 + 2174729956 = 103238^2 + 46634^2 .

It is a super-2 number, since 2×12832814600² (a number of 21 digits) contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 32081837 + ... + 32082236.

Almost surely, 2^12832814600 is an apocalyptic number.

12832814600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12832814600 is an abundant number, since it is smaller than the sum of its proper divisors (17003479810).

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

12832814600 is a wasteful number, since it uses less digits than its factorization.

12832814600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64164089 (or 64164080 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The spelling of 12832814600 in words is "twelve billion, eight hundred thirty-two million, eight hundred fourteen thousand, six hundred".