201211222211200 has 96 divisors (see below), whose sum is σ = 497700968341500. Its totient is φ = 80379826667520.

The previous prime is 201211222211179. The next prime is 201211222211243. The reversal of 201211222211200 is 2112222112102.

It can be written as a sum of positive squares in 6 ways, for example, as 41171112926784 + 160040109284416 = 6416472^2 + 12650696^2 .

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 11 ways as a sum of consecutive naturals, for example, 38422495 + ... + 43344094.

Almost surely, 2^{201211222211200} is an apocalyptic number.

201211222211200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201211222211200 is an abundant number, since it is smaller than the sum of its proper divisors (296489746130300).

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

201211222211200 is an equidigital number, since it uses as much as digits as its factorization.

201211222211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81767382 (or 81767365 counting only the distinct ones).

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

Adding to 201211222211200 its reverse (2112222112102), we get a palindrome (203323444323302).

The spelling of 201211222211200 in words is "two hundred one trillion, two hundred eleven billion, two hundred twenty-two million, two hundred eleven thousand, two hundred".