12233203200 has 960 divisors, whose sum is σ = 49928947200. Its totient is φ = 2956124160.

The previous prime is 12233203163. The next prime is 12233203243. The reversal of 12233203200 is 230233221.

It is a happy number.

12233203200 is a `hidden beast` number, since 1 + 2 + 23 + 320 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 531878389 + ... + 531878411.

It is an arithmetic number, because the mean of its divisors is an integer number (52009320).

Almost surely, 2^12233203200 is an apocalyptic number.

12233203200 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 12233203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24964473600).

12233203200 is an abundant number, since it is smaller than the sum of its proper divisors (37695744000).

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

12233203200 is an frugal number, since it uses more digits than its factorization.

12233203200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 12233203200 its reverse (230233221), we get a palindrome (12463436421).

The spelling of 12233203200 in words is "twelve billion, two hundred thirty-three million, two hundred three thousand, two hundred".