212112120200 has 144 divisors (see below), whose sum is σ = 522796198500. Its totient is φ = 80022090240.

The previous prime is 212112120169. The next prime is 212112120203. The reversal of 212112120200 is 2021211212.

It can be written as a sum of positive squares in 6 ways, for example, as 160629417796 + 51482702404 = 400786^2 + 226898^2 .

It is not an unprimeable number, because it can be changed into a prime (212112120203) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 16527386 + ... + 16540214.

Almost surely, 2^212112120200 is an apocalyptic number.

212112120200 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 212112120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261398099250).

212112120200 is an abundant number, since it is smaller than the sum of its proper divisors (310684078300).

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

212112120200 is a wasteful number, since it uses less digits than its factorization.

212112120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13112 (or 13084 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212112120200 its reverse (2021211212), we get a palindrome (214133331412).

The spelling of 212112120200 in words is "two hundred twelve billion, one hundred twelve million, one hundred twenty thousand, two hundred".