12225600 has 168 divisors, whose sum is σ = 44724320. Its totient is φ = 3248640.

The previous prime is 12225553. The next prime is 12225611. The reversal of 12225600 is 652221.

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

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, 43059 + ... + 43341.

Almost surely, 2^12225600 is an apocalyptic number.

12225600 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 12225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22362160).

12225600 is an abundant number, since it is smaller than the sum of its proper divisors (32498720).

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

12225600 is a wasteful number, since it uses less digits than its factorization.

12225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 12225600 is about 3496.5125482400. The cubic root of 12225600 is about 230.3686589313.

Adding to 12225600 its reverse (652221), we get a palindrome (12877821).

The spelling of 12225600 in words is "twelve million, two hundred twenty-five thousand, six hundred".