202122122112 has 48 divisors (see below), whose sum is σ = 581627464080. Its totient is φ = 67374040320.

The previous prime is 202122122087. The next prime is 202122122131. The reversal of 202122122112 is 211221221202.

It is a happy number.

202122122112 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 (48).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 5 ways as a sum of consecutive naturals, for example, 87725464 + ... + 87727767.

It is an arithmetic number, because the mean of its divisors is an integer number (12117238835).

Almost surely, 2^202122122112 is an apocalyptic number.

It is an amenable number.

202122122112 is an abundant number, since it is smaller than the sum of its proper divisors (379505341968).

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

202122122112 is a wasteful number, since it uses less digits than its factorization.

202122122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175453251 (or 175453236 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 202122122112 its reverse (211221221202), we get a palindrome (413343343314).

The spelling of 202122122112 in words is "two hundred two billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred twelve".