222112112020200 has 288 divisors, whose sum is σ = 766566756167160. Its totient is φ = 57592975104000.

The previous prime is 222112112020199. The next prime is 222112112020273. The reversal of 222112112020200 is 2020211211222.

It is a happy number.

222112112020200 is a `hidden beast` number, since 2 + 2 + 211 + 211 + 20 + 20 + 200 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 5131611273636 + 216980500746564 = 2265306^2 + 14730258^2 .

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 (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 105316050 + ... + 107404350.

Almost surely, 2^{222112112020200} is an apocalyptic number.

222112112020200 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 222112112020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383283378083580).

222112112020200 is an abundant number, since it is smaller than the sum of its proper divisors (544454644146960).

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

222112112020200 is a wasteful number, since it uses less digits than its factorization.

222112112020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2089957 (or 2089945 counting only the distinct ones).

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

Adding to 222112112020200 its reverse (2020211211222), we get a palindrome (224132323231422).

The spelling of 222112112020200 in words is "two hundred twenty-two trillion, one hundred twelve billion, one hundred twelve million, twenty thousand, two hundred".