213222312200 has 192 divisors, whose sum is σ = 513154656000. Its totient is φ = 82342656000.

The previous prime is 213222312169. The next prime is 213222312203. The reversal of 213222312200 is 2213222312.

It is a happy number.

213222312200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (213222312203) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 508883591 + ... + 508884009.

It is an arithmetic number, because the mean of its divisors is an integer number (2672680500).

Almost surely, 2^213222312200 is an apocalyptic number.

213222312200 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 213222312200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256577328000).

213222312200 is an abundant number, since it is smaller than the sum of its proper divisors (299932343800).

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

213222312200 is a wasteful number, since it uses less digits than its factorization.

213222312200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 213222312200 its reverse (2213222312), we get a palindrome (215435534512).

The spelling of 213222312200 in words is "two hundred thirteen billion, two hundred twenty-two million, three hundred twelve thousand, two hundred".