212120122200 has 96 divisors (see below), whose sum is σ = 751511304960. Its totient is φ = 48484598400.

The previous prime is 212120122189. The next prime is 212120122229. The reversal of 212120122200 is 2221021212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212120122200.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 25248196 + ... + 25256595.

It is an arithmetic number, because the mean of its divisors is an integer number (7828242760).

Almost surely, 2^212120122200 is an apocalyptic number.

212120122200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212120122200 is an abundant number, since it is smaller than the sum of its proper divisors (539391182760).

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

212120122200 is a wasteful number, since it uses less digits than its factorization.

212120122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50504817 (or 50504808 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 212120122200 its reverse (2221021212), we get a palindrome (214341143412).

The spelling of 212120122200 in words is "two hundred twelve billion, one hundred twenty million, one hundred twenty-two thousand, two hundred".