12221200220200 has 192 divisors, whose sum is σ = 31305595599360. Its totient is φ = 4418064568320.

The previous prime is 12221200220143. The next prime is 12221200220227. The reversal of 12221200220200 is 202200212221.

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, 7747909 + ... + 9190891.

It is an arithmetic number, because the mean of its divisors is an integer number (163049977080).

Almost surely, 2^{12221200220200} is an apocalyptic number.

12221200220200 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 12221200220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15652797799680).

12221200220200 is an abundant number, since it is smaller than the sum of its proper divisors (19084395379160).

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

12221200220200 is a wasteful number, since it uses less digits than its factorization.

12221200220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443116 (or 1443107 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 12221200220200 its reverse (202200212221), we get a palindrome (12423400432421).

The spelling of 12221200220200 in words is "twelve trillion, two hundred twenty-one billion, two hundred million, two hundred twenty thousand, two hundred".