222112210021200 has 180 divisors, whose sum is σ = 770798934488700. Its totient is φ = 59229318082560.

The previous prime is 222112210021103. The next prime is 222112210021223. The reversal of 222112210021200 is 2120012211222.

It is a happy number.

222112210021200 is a `hidden beast` number, since 2 + 221 + 1 + 221 + 0 + 0 + 21 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 450971343936 + 221661238677264 = 671544^2 + 14888292^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

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 35 ways as a sum of consecutive naturals, for example, 436602184 + ... + 437110616.

It is an arithmetic number, because the mean of its divisors is an integer number (4282216302715).

Almost surely, 2^{222112210021200} is an apocalyptic number.

222112210021200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222112210021200 is an abundant number, since it is smaller than the sum of its proper divisors (548686724467500).

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

222112210021200 is a wasteful number, since it uses less digits than its factorization.

222112210021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629806 (or 629792 counting only the distinct ones).

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

Adding to 222112210021200 its reverse (2120012211222), we get a palindrome (224232222232422).

The spelling of 222112210021200 in words is "two hundred twenty-two trillion, one hundred twelve billion, two hundred ten million, twenty-one thousand, two hundred".