221211212120200 has 96 divisors (see below), whose sum is σ = 516514394088000. Its totient is φ = 88106482080000.

The previous prime is 221211212120191. The next prime is 221211212120237. The reversal of 221211212120200 is 2021212112122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173508661 + ... + 174778939.

It is an arithmetic number, because the mean of its divisors is an integer number (5380358271750).

Almost surely, 2^{221211212120200} is an apocalyptic number.

221211212120200 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 221211212120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258257197044000).

221211212120200 is an abundant number, since it is smaller than the sum of its proper divisors (295303181967800).

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

221211212120200 is a wasteful number, since it uses less digits than its factorization.

221211212120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274015 (or 1274006 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 221211212120200 its reverse (2021212112122), we get a palindrome (223232424232322).

The spelling of 221211212120200 in words is "two hundred twenty-one trillion, two hundred eleven billion, two hundred twelve million, one hundred twenty thousand, two hundred".