200120012211200 has 132 divisors (see below), whose sum is σ = 496754997373380. Its totient is φ = 79935094947840.

The previous prime is 200120012211193. The next prime is 200120012211227. The reversal of 200120012211200 is 2112210021002.

It can be written as a sum of positive squares in 6 ways, for example, as 87195554676736 + 112924457534464 = 9337856^2 + 10626592^2 .

It is a super-2 number, since 2×200120012211200² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12637574 + ... + 23663226.

Almost surely, 2^{200120012211200} is an apocalyptic number.

200120012211200 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 200120012211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248377498686690).

200120012211200 is an abundant number, since it is smaller than the sum of its proper divisors (296634985162180).

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

200120012211200 is a wasteful number, since it uses less digits than its factorization.

200120012211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11026392 (or 11026369 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 200120012211200 its reverse (2112210021002), we get a palindrome (202232222232202).

The spelling of 200120012211200 in words is "two hundred trillion, one hundred twenty billion, twelve million, two hundred eleven thousand, two hundred".