222200000311200 has 576 divisors, whose sum is σ = 770156048108160. Its totient is φ = 55451336048640.

The previous prime is 222200000311111. The next prime is 222200000311241. The reversal of 222200000311200 is 2113000002222.

It is a happy number.

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 222200000311200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19189907011 + ... + 19189918589.

It is an arithmetic number, because the mean of its divisors is an integer number (1337076472410).

Almost surely, 2^{222200000311200} is an apocalyptic number.

222200000311200 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 222200000311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385078024054080).

222200000311200 is an abundant number, since it is smaller than the sum of its proper divisors (547956047796960).

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

222200000311200 is a wasteful number, since it uses less digits than its factorization.

222200000311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14249 (or 14236 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 222200000311200 its reverse (2113000002222), we get a palindrome (224313000313422).

The spelling of 222200000311200 in words is "two hundred twenty-two trillion, two hundred billion, three hundred eleven thousand, two hundred".