12200322213200 has 90 divisors (see below), whose sum is σ = 32218177463262. Its totient is φ = 4436480787200.

The previous prime is 12200322213181. The next prime is 12200322213239. The reversal of 12200322213200 is 231222300221.

It is a happy number.

12200322213200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 2444519742016 + 9755802471184 = 1563496^2 + 3123428^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 125987987 + ... + 126084786.

Almost surely, 2^{12200322213200} is an apocalyptic number.

12200322213200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12200322213200 is an abundant number, since it is smaller than the sum of its proper divisors (20017855250062).

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

12200322213200 is a wasteful number, since it uses less digits than its factorization.

12200322213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252072813 (or 252072791 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 12200322213200 its reverse (231222300221), we get a palindrome (12431544513421).

The spelling of 12200322213200 in words is "twelve trillion, two hundred billion, three hundred twenty-two million, two hundred thirteen thousand, two hundred".