200220212200200 has 288 divisors, whose sum is σ = 653139297867840. Its totient is φ = 50732434368000.

The previous prime is 200220212200193. The next prime is 200220212200289. The reversal of 200220212200200 is 2002212022002.

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 200220212200200.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 45838614 + ... + 50016186.

Almost surely, 2^{200220212200200} is an apocalyptic number.

200220212200200 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 200220212200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326569648933920).

200220212200200 is an abundant number, since it is smaller than the sum of its proper divisors (452919085667640).

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

200220212200200 is a wasteful number, since it uses less digits than its factorization.

200220212200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4177789 (or 4177757 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 200220212200200 its reverse (2002212022002), we get a palindrome (202222424222202).

The spelling of 200220212200200 in words is "two hundred trillion, two hundred twenty billion, two hundred twelve million, two hundred thousand, two hundred".