202201222221200 has 120 divisors (see below), whose sum is σ = 494964453682728. Its totient is φ = 79352806973440.

The previous prime is 202201222221121. The next prime is 202201222221277. The reversal of 202201222221200 is 2122222102202.

It can be written as a sum of positive squares in 12 ways, for example, as 44378886415504 + 157822335805696 = 6661748^2 + 12562736^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1854373082 + ... + 1854482118.

Almost surely, 2^{202201222221200} is an apocalyptic number.

202201222221200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202201222221200 is an abundant number, since it is smaller than the sum of its proper divisors (292763231461528).

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

202201222221200 is a wasteful number, since it uses less digits than its factorization.

202201222221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196581 (or 196570 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 202201222221200 its reverse (2122222102202), we get a palindrome (204323444323402).

The spelling of 202201222221200 in words is "two hundred two trillion, two hundred one billion, two hundred twenty-two million, two hundred twenty-one thousand, two hundred".