200212100011200 has 336 divisors, whose sum is σ = 702001548561024. Its totient is φ = 49779689472000.

The previous prime is 200212100011127. The next prime is 200212100011223. The reversal of 200212100011200 is 2110001212002.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 2734126 + ... + 20196525.

Almost surely, 2^{200212100011200} is an apocalyptic number.

200212100011200 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 200212100011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351000774280512).

200212100011200 is an abundant number, since it is smaller than the sum of its proper divisors (501789448549824).

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

200212100011200 is a wasteful number, since it uses less digits than its factorization.

200212100011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22930800 (or 22930785 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 200212100011200 its reverse (2110001212002), we get a palindrome (202322101223202).

The spelling of 200212100011200 in words is "two hundred trillion, two hundred twelve billion, one hundred million, eleven thousand, two hundred".