12326400 has 180 divisors, whose sum is σ = 44525052. Its totient is φ = 3256320.

The previous prime is 12326393. The next prime is 12326417. The reversal of 12326400 is 462321.

It is a happy number.

12326400 is a `hidden beast` number, since 1 + 23 + 2 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 115147 + ... + 115253.

Almost surely, 2^12326400 is an apocalyptic number.

12326400 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 12326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22262526).

12326400 is an abundant number, since it is smaller than the sum of its proper divisors (32198652).

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

12326400 is a wasteful number, since it uses less digits than its factorization.

12326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 12326400 is about 3510.8973211987. The cubic root of 12326400 is about 231.0000562208. Note that the first 4 decimals are identical.

Adding to 12326400 its reverse (462321), we get a palindrome (12788721).

The spelling of 12326400 in words is "twelve million, three hundred twenty-six thousand, four hundred".