2212112120200 has 48 divisors (see below), whose sum is σ = 5194083109860. Its totient is φ = 876084000000.

The previous prime is 2212112120077. The next prime is 2212112120213. The reversal of 2212112120200 is 20212112122.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1917842759044 + 294269361156 = 1384862^2 + 542466^2 .

It is a super-5 number, since 5×2212112120200⁵ (a number of 63 digits) contains 55555 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54735051 + ... + 54775450.

Almost surely, 2^{2212112120200} is an apocalyptic number.

2212112120200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2212112120200 is an abundant number, since it is smaller than the sum of its proper divisors (2981970989660).

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

2212112120200 is a wasteful number, since it uses less digits than its factorization.

2212112120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109510618 (or 109510609 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2212112120200 its reverse (20212112122), we get a palindrome (2232324232322).

The spelling of 2212112120200 in words is "two trillion, two hundred twelve billion, one hundred twelve million, one hundred twenty thousand, two hundred".