12032313200 has 120 divisors (see below), whose sum is σ = 29412688896. Its totient is φ = 4729312000.

The previous prime is 12032313199. The next prime is 12032313203. The reversal of 12032313200 is 231323021.

12032313200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12032313203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12239909 + ... + 12240891.

Almost surely, 2^12032313200 is an apocalyptic number.

12032313200 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 12032313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14706344448).

12032313200 is an abundant number, since it is smaller than the sum of its proper divisors (17380375696).

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

12032313200 is a wasteful number, since it uses less digits than its factorization.

12032313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 12032313200 its reverse (231323021), we get a palindrome (12263636221).

The spelling of 12032313200 in words is "twelve billion, thirty-two million, three hundred thirteen thousand, two hundred".