201222120221200 has 120 divisors (see below), whose sum is σ = 521307680563656. Its totient is φ = 74199765504000.

The previous prime is 201222120221197. The next prime is 201222120221203. The reversal of 201222120221200 is 2122021222102.

It is an interprime number because it is at equal distance from previous prime (201222120221197) and next prime (201222120221203).

It can be written as a sum of positive squares in 12 ways, for example, as 148732269101056 + 52489851120144 = 12195584^2 + 7244988^2 .

It is not an unprimeable number, because it can be changed into a prime (201222120221203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21467611 + ... + 29382010.

Almost surely, 2^{201222120221200} is an apocalyptic number.

201222120221200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201222120221200 is an abundant number, since it is smaller than the sum of its proper divisors (320085560342456).

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

201222120221200 is a wasteful number, since it uses less digits than its factorization.

201222120221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50850413 (or 50850402 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 201222120221200 its reverse (2122021222102), we get a palindrome (203344141443302).

The spelling of 201222120221200 in words is "two hundred one trillion, two hundred twenty-two billion, one hundred twenty million, two hundred twenty-one thousand, two hundred".