22200222010200 has 384 divisors, whose sum is σ = 75685605811200. Its totient is φ = 5349306193920.

The previous prime is 22200222010193. The next prime is 22200222010231. The reversal of 22200222010200 is 201022200222.

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 22200222010200.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 181421437 + ... + 181543763.

It is an arithmetic number, because the mean of its divisors is an integer number (197097931800).

Almost surely, 2^{22200222010200} is an apocalyptic number.

22200222010200 is a gapful number since it is divisible by the number (20) 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 22200222010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37842802905600).

22200222010200 is an abundant number, since it is smaller than the sum of its proper divisors (53485383801000).

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

22200222010200 is a wasteful number, since it uses less digits than its factorization.

22200222010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122851 (or 122842 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 22200222010200 its reverse (201022200222), we get a palindrome (22401244210422).

The spelling of 22200222010200 in words is "twenty-two trillion, two hundred billion, two hundred twenty-two million, ten thousand, two hundred".