12338400 has 144 divisors (see below), whose sum is σ = 41341104. Its totient is φ = 3194880.

The previous prime is 12338383. The next prime is 12338423. The reversal of 12338400 is 483321.

It is a happy number.

It is a super-2 number, since 2×12338400² = 304472229120000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127152 + ... + 127248.

It is an arithmetic number, because the mean of its divisors is an integer number (287091).

Almost surely, 2^12338400 is an apocalyptic number.

12338400 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 12338400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20670552).

12338400 is an abundant number, since it is smaller than the sum of its proper divisors (29002704).

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

12338400 is a wasteful number, since it uses less digits than its factorization.

12338400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 12338400 is about 3512.6058702906. The cubic root of 12338400 is about 231.0749929860.

The spelling of 12338400 in words is "twelve million, three hundred thirty-eight thousand, four hundred".