12232231200 has 864 divisors, whose sum is σ = 52207908480. Its totient is φ = 2737152000.

The previous prime is 12232231133. The next prime is 12232231259. The reversal of 12232231200 is 213223221.

12232231200 is a `hidden beast` number, since 1 + 2 + 232 + 231 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 143 ways as a sum of consecutive naturals, for example, 121111150 + ... + 121111250.

It is an arithmetic number, because the mean of its divisors is an integer number (60425820).

Almost surely, 2^12232231200 is an apocalyptic number.

12232231200 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 12232231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26103954240).

12232231200 is an abundant number, since it is smaller than the sum of its proper divisors (39975677280).

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

12232231200 is a wasteful number, since it uses less digits than its factorization.

12232231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 207 counting only the distinct ones).

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

Adding to 12232231200 its reverse (213223221), we get a palindrome (12445454421).

The spelling of 12232231200 in words is "twelve billion, two hundred thirty-two million, two hundred thirty-one thousand, two hundred".