213222203121200 has 960 divisors, whose sum is σ = 669616661790720. Its totient is φ = 63431424000000.

The previous prime is 213222203121173. The next prime is 213222203121241. The reversal of 213222203121200 is 2121302222312.

It is a happy number.

213222203121200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9476109950 + ... + 9476132450.

It is an arithmetic number, because the mean of its divisors is an integer number (697517356032).

Almost surely, 2^{213222203121200} is an apocalyptic number.

213222203121200 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 213222203121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334808330895360).

213222203121200 is an abundant number, since it is smaller than the sum of its proper divisors (456394458669520).

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

213222203121200 is a wasteful number, since it uses less digits than its factorization.

213222203121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22806 (or 22795 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 213222203121200 its reverse (2121302222312), we get a palindrome (215343505343512).

The spelling of 213222203121200 in words is "two hundred thirteen trillion, two hundred twenty-two billion, two hundred three million, one hundred twenty-one thousand, two hundred".