222112221010200 has 288 divisors, whose sum is σ = 805198430743200. Its totient is φ = 54701100410880.

The previous prime is 222112221010129. The next prime is 222112221010201. The reversal of 222112221010200 is 2010122211222.

It is a happy number.

222112221010200 is a `hidden beast` number, since 2 + 221 + 1 + 22 + 210 + 10 + 200 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222112221010201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 91299909 + ... + 93701108.

It is an arithmetic number, because the mean of its divisors is an integer number (2795827884525).

Almost surely, 2^{222112221010200} is an apocalyptic number.

222112221010200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222112221010200 is an abundant number, since it is smaller than the sum of its proper divisors (583086209733000).

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

222112221010200 is a wasteful number, since it uses less digits than its factorization.

222112221010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185001091 (or 185001079 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 222112221010200 its reverse (2010122211222), we get a palindrome (224122343221422).

The spelling of 222112221010200 in words is "two hundred twenty-two trillion, one hundred twelve billion, two hundred twenty-one million, ten thousand, two hundred".