202211202222112 has 96 divisors (see below), whose sum is σ = 408377530258992. Its totient is φ = 98523929247744.

The previous prime is 202211202222109. The next prime is 202211202222173. The reversal of 202211202222112 is 211222202112202.

It can be written as a sum of positive squares in 8 ways, for example, as 43612340513296 + 158598861708816 = 6603964^2 + 12593604^2 .

It is a super-2 number, since 2×202211202222112² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 201460758 + ... + 202461994.

Almost surely, 2^{202211202222112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202211202222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204188765129496).

202211202222112 is an abundant number, since it is smaller than the sum of its proper divisors (206166328036880).

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

202211202222112 is a wasteful number, since it uses less digits than its factorization.

202211202222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002110 (or 1002102 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 202211202222112 its reverse (211222202112202), we get a palindrome (413433404334314).

The spelling of 202211202222112 in words is "two hundred two trillion, two hundred eleven billion, two hundred two million, two hundred twenty-two thousand, one hundred twelve".