202112202112 has 64 divisors (see below), whose sum is σ = 406930611600. Its totient is φ = 99982080000.

The previous prime is 202112202107. The next prime is 202112202121. The reversal of 202112202112 is 211202211202.

It is a happy number.

202112202112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

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 7 ways as a sum of consecutive naturals, for example, 20408362 + ... + 20418262.

Almost surely, 2^202112202112 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 202112202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203465305800).

202112202112 is an abundant number, since it is smaller than the sum of its proper divisors (204818409488).

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

202112202112 is a wasteful number, since it uses less digits than its factorization.

202112202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11595 (or 11583 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 202112202112 its reverse (211202211202), we get a palindrome (413314413314).

The spelling of 202112202112 in words is "two hundred two billion, one hundred twelve million, two hundred two thousand, one hundred twelve".