202211212112 has 160 divisors (see below), whose sum is σ = 490942744320. Its totient is φ = 79023859200.

The previous prime is 202211212079. The next prime is 202211212123. The reversal of 202211212112 is 211212112202.

202211212112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 20418362 + ... + 20428262.

It is an arithmetic number, because the mean of its divisors is an integer number (3068392152).

Almost surely, 2^202211212112 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 202211212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245471372160).

202211212112 is an abundant number, since it is smaller than the sum of its proper divisors (288731532208).

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

202211212112 is an equidigital number, since it uses as much as digits as its factorization.

202211212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10038 (or 10006 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 202211212112 its reverse (211212112202), we get a palindrome (413423324314).

It can be divided in two parts, 202 and 211212112, that multiplied together give a palindrome (42664846624).

The spelling of 202211212112 in words is "two hundred two billion, two hundred eleven million, two hundred twelve thousand, one hundred twelve".