12326800 has 30 divisors (see below), whose sum is σ = 29616098. Its totient is φ = 4930560.

The previous prime is 12326791. The next prime is 12326813. The reversal of 12326800 is 862321.

It can be written as a sum of positive squares in 3 ways, for example, as 20736 + 12306064 = 144^2 + 3508^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15009 + ... + 15808.

Almost surely, 2^12326800 is an apocalyptic number.

12326800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12326800 is an abundant number, since it is smaller than the sum of its proper divisors (17289298).

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

12326800 is a wasteful number, since it uses less digits than its factorization.

12326800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30835 (or 30824 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 12326800 is about 3510.9542862305. The cubic root of 12326800 is about 231.0025548964.

The spelling of 12326800 in words is "twelve million, three hundred twenty-six thousand, eight hundred".