200212210112200 has 576 divisors, whose sum is σ = 554015340748800. Its totient is φ = 66700345420800.

The previous prime is 200212210112171. The next prime is 200212210112219. The reversal of 200212210112200 is 2211012212002.

It is a happy number.

200212210112200 is digitally balanced in base 2 and base 3, because in such bases 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 143 ways as a sum of consecutive naturals, for example, 28770252321 + ... + 28770259279.

It is an arithmetic number, because the mean of its divisors is an integer number (961832188800).

Almost surely, 2^{200212210112200} is an apocalyptic number.

200212210112200 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 200212210112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277007670374400).

200212210112200 is an abundant number, since it is smaller than the sum of its proper divisors (353803130636600).

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

200212210112200 is a wasteful number, since it uses less digits than its factorization.

200212210112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7582 (or 7560 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 200212210112200 its reverse (2211012212002), we get a palindrome (202423222324202).

The spelling of 200212210112200 in words is "two hundred trillion, two hundred twelve billion, two hundred ten million, one hundred twelve thousand, two hundred".