12233200 has 120 divisors (see below), whose sum is σ = 35703072. Its totient is φ = 3932160.

The previous prime is 12233191. The next prime is 12233201. The reversal of 12233200 is 233221.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12233201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47472 + ... + 47728.

Almost surely, 2^12233200 is an apocalyptic number.

12233200 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 12233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17851536).

12233200 is an abundant number, since it is smaller than the sum of its proper divisors (23469872).

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

12233200 is a wasteful number, since it uses less digits than its factorization.

12233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 12233200 is about 3497.5991765781. The cubic root of 12233200 is about 230.4163849909.

Adding to 12233200 its reverse (233221), we get a palindrome (12466421).

The spelling of 12233200 in words is "twelve million, two hundred thirty-three thousand, two hundred".