200212004144200 has 192 divisors, whose sum is σ = 489073094640000. Its totient is φ = 76076072202240.

The previous prime is 200212004144149. The next prime is 200212004144249. The reversal of 200212004144200 is 2441400212002.

200212004144200 is digitally balanced in base 3, 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 47 ways as a sum of consecutive naturals, for example, 4810801792 + ... + 4810843408.

It is an arithmetic number, because the mean of its divisors is an integer number (2547255701250).

Almost surely, 2^{200212004144200} is an apocalyptic number.

200212004144200 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 200212004144200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244536547320000).

200212004144200 is an abundant number, since it is smaller than the sum of its proper divisors (288861090495800).

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

200212004144200 is a wasteful number, since it uses less digits than its factorization.

200212004144200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48824 (or 48815 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 200212004144200 its reverse (2441400212002), we get a palindrome (202653404356202).

The spelling of 200212004144200 in words is "two hundred trillion, two hundred twelve billion, four million, one hundred forty-four thousand, two hundred".