212000202200 has 192 divisors, whose sum is σ = 537565593600. Its totient is φ = 77545843200.

The previous prime is 212000202191. The next prime is 212000202221. The reversal of 212000202200 is 2202000212.

212000202200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 8438057 + ... + 8463143.

It is an arithmetic number, because the mean of its divisors is an integer number (2799820800).

Almost surely, 2^212000202200 is an apocalyptic number.

212000202200 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 212000202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268782796800).

212000202200 is an abundant number, since it is smaller than the sum of its proper divisors (325565391400).

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

212000202200 is a wasteful number, since it uses less digits than its factorization.

212000202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25210 (or 25201 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 212000202200 its reverse (2202000212), we get a palindrome (214202202412).

The spelling of 212000202200 in words is "two hundred twelve billion, two hundred two thousand, two hundred".