12320032200 has 192 divisors, whose sum is σ = 43705297920. Its totient is φ = 2812320000.

The previous prime is 12320032181. The next prime is 12320032229. The reversal of 12320032200 is 223002321.

12320032200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12320032200.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4412805 + ... + 4415595.

It is an arithmetic number, because the mean of its divisors is an integer number (227631760).

Almost surely, 2^12320032200 is an apocalyptic number.

12320032200 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 12320032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21852648960).

12320032200 is an abundant number, since it is smaller than the sum of its proper divisors (31385265720).

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

12320032200 is a wasteful number, since it uses less digits than its factorization.

12320032200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3868 (or 3859 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 12320032200 its reverse (223002321), we get a palindrome (12543034521).

The spelling of 12320032200 in words is "twelve billion, three hundred twenty million, thirty-two thousand, two hundred".