222120120220200 has 288 divisors, whose sum is σ = 753687224472000. Its totient is φ = 58618002862080.

The previous prime is 222120120220177. The next prime is 222120120220241. The reversal of 222120120220200 is 2022021021222.

222120120220200 is a `hidden beast` number, since 2 + 2 + 2 + 120 + 120 + 220 + 200 = 666.

It is a super-2 number, since 2×222120120220200² (a number of 29 digits) contains 22 as substring.

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 (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4853682519 + ... + 4853728281.

Almost surely, 2^{222120120220200} is an apocalyptic number.

222120120220200 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 222120120220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376843612236000).

222120120220200 is an abundant number, since it is smaller than the sum of its proper divisors (531567104251800).

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

222120120220200 is a wasteful number, since it uses less digits than its factorization.

222120120220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73681 (or 73669 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 222120120220200 its reverse (2022021021222), we get a palindrome (224142141241422).

The spelling of 222120120220200 in words is "two hundred twenty-two trillion, one hundred twenty billion, one hundred twenty million, two hundred twenty thousand, two hundred".