12200213203200 has 648 divisors, whose sum is σ = 47618701437216. Its totient is φ = 2955460608000.

The previous prime is 12200213203169. The next prime is 12200213203267. The reversal of 12200213203200 is 230231200221.

12200213203200 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 0 + 21 + 320 + 320 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 970035312 + ... + 970047888.

Almost surely, 2^{12200213203200} is an apocalyptic number.

12200213203200 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 12200213203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23809350718608).

12200213203200 is an abundant number, since it is smaller than the sum of its proper divisors (35418488234016).

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

12200213203200 is a wasteful number, since it uses less digits than its factorization.

12200213203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14151 (or 14129 counting only the distinct ones).

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

Adding to 12200213203200 its reverse (230231200221), we get a palindrome (12430444403421).

The spelling of 12200213203200 in words is "twelve trillion, two hundred billion, two hundred thirteen million, two hundred three thousand, two hundred".