202202122220112 has 160 divisors (see below), whose sum is σ = 632226934886400. Its totient is φ = 54362247174144.

The previous prime is 202202122220101. The next prime is 202202122220113. The reversal of 202202122220112 is 211022221202202.

202202122220112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×202202122220112³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202202122220113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23464189 + ... + 30902627.

It is an arithmetic number, because the mean of its divisors is an integer number (3951418343040).

Almost surely, 2^{202202122220112} 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 202202122220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316113467443200).

202202122220112 is an abundant number, since it is smaller than the sum of its proper divisors (430024812666288).

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

202202122220112 is a wasteful number, since it uses less digits than its factorization.

202202122220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7443233 (or 7443227 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 202202122220112 its reverse (211022221202202), we get a palindrome (413224343422314).

The spelling of 202202122220112 in words is "two hundred two trillion, two hundred two billion, one hundred twenty-two million, two hundred twenty thousand, one hundred twelve".