12338800 has 60 divisors (see below), whose sum is σ = 30021640. Its totient is φ = 4872960.

The previous prime is 12338789. The next prime is 12338819. The reversal of 12338800 is 883321.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 43459 + ... + 43741.

Almost surely, 2^12338800 is an apocalyptic number.

12338800 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 12338800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15010820).

12338800 is an abundant number, since it is smaller than the sum of its proper divisors (17682840).

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

12338800 is a wasteful number, since it uses less digits than its factorization.

12338800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 12338800 is about 3512.6628076148. The cubic root of 12338800 is about 231.0774900412.

The spelling of 12338800 in words is "twelve million, three hundred thirty-eight thousand, eight hundred".