12225200 has 60 divisors (see below), whose sum is σ = 31643808. Its totient is φ = 4512000.

The previous prime is 12225197. The next prime is 12225203. The reversal of 12225200 is 252221.

It is an interprime number because it is at equal distance from previous prime (12225197) and next prime (12225203).

It is not an unprimeable number, because it can be changed into a prime (12225203) 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 11 ways as a sum of consecutive naturals, for example, 4025 + ... + 6375.

Almost surely, 2^12225200 is an apocalyptic number.

12225200 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 12225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15821904).

12225200 is an abundant number, since it is smaller than the sum of its proper divisors (19418608).

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

12225200 is a wasteful number, since it uses less digits than its factorization.

12225200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2382 (or 2371 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 12225200 is about 3496.4553479202. The cubic root of 12225200 is about 230.3661464856.

Adding to 12225200 its reverse (252221), we get a palindrome (12477421).

The spelling of 12225200 in words is "twelve million, two hundred twenty-five thousand, two hundred".