12308800 has 126 divisors (see below), whose sum is σ = 35456622. Its totient is φ = 4193280.

The previous prime is 12308797. The next prime is 12308801. The reversal of 12308800 is 880321.

It can be written as a sum of positive squares in 3 ways, for example, as 254016 + 12054784 = 504^2 + 3472^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12308801) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 78322 + ... + 78478.

Almost surely, 2^12308800 is an apocalyptic number.

12308800 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 12308800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17728311).

12308800 is an abundant number, since it is smaller than the sum of its proper divisors (23147822).

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

12308800 is a wasteful number, since it uses less digits than its factorization.

12308800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 12308800 is about 3508.3899441197. The cubic root of 12308800 is about 230.8900609391.

The spelling of 12308800 in words is "twelve million, three hundred eight thousand, eight hundred".