2112202222200 has 432 divisors, whose sum is σ = 8299355224680. Its totient is φ = 479994923520.

The previous prime is 2112202222181. The next prime is 2112202222213. The reversal of 2112202222200 is 22222022112.

2112202222200 is a `hidden beast` number, since 2 + 1 + 1 + 220 + 222 + 220 + 0 = 666.

It is a super-2 number, since 2×2112202222200² (a number of 25 digits) contains 22 as substring.

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 107 ways as a sum of consecutive naturals, for example, 15189387 + ... + 15327813.

Almost surely, 2^{2112202222200} is an apocalyptic number.

2112202222200 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 2112202222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4149677612340).

2112202222200 is an abundant number, since it is smaller than the sum of its proper divisors (6187153002480).

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

2112202222200 is a wasteful number, since it uses less digits than its factorization.

2112202222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138636 (or 138617 counting only the distinct ones).

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

Adding to 2112202222200 its reverse (22222022112), we get a palindrome (2134424244312).

The spelling of 2112202222200 in words is "two trillion, one hundred twelve billion, two hundred two million, two hundred twenty-two thousand, two hundred".