212210203200 has 336 divisors, whose sum is σ = 705757328640. Its totient is φ = 55819796480.

The previous prime is 212210203187. The next prime is 212210203201. The reversal of 212210203200 is 2302012212.

It is a happy number.

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 212210203200.

It is not an unprimeable number, because it can be changed into a prime (212210203201) 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 47 ways as a sum of consecutive naturals, for example, 129632782 + ... + 129634418.

It is an arithmetic number, because the mean of its divisors is an integer number (2100468240).

Almost surely, 2^212210203200 is an apocalyptic number.

212210203200 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 212210203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352878664320).

212210203200 is an abundant number, since it is smaller than the sum of its proper divisors (493547125440).

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

212210203200 is a wasteful number, since it uses less digits than its factorization.

212210203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014 (or 1999 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 212210203200 its reverse (2302012212), we get a palindrome (214512215412).

The spelling of 212210203200 in words is "two hundred twelve billion, two hundred ten million, two hundred three thousand, two hundred".