12320323200 has 144 divisors (see below), whose sum is σ = 43961839350. Its totient is φ = 3285411840.

The previous prime is 12320323189. The next prime is 12320323201. The reversal of 12320323200 is 232302321.

It is a happy number.

12320323200 is a `hidden beast` number, since 1 + 2 + 320 + 323 + 20 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 10994780736 + 1325542464 = 104856^2 + 36408^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12320323201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 185095 + ... + 242694.

Almost surely, 2^12320323200 is an apocalyptic number.

12320323200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12320323200 is an abundant number, since it is smaller than the sum of its proper divisors (31641516150).

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

12320323200 is a wasteful number, since it uses less digits than its factorization.

12320323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427819 (or 427799 counting only the distinct ones).

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

Adding to 12320323200 its reverse (232302321), we get a palindrome (12552625521).

The spelling of 12320323200 in words is "twelve billion, three hundred twenty million, three hundred twenty-three thousand, two hundred".