12122112101022 has 144 divisors (see below), whose sum is σ = 33337792785024. Its totient is φ = 3147881940000.

The previous prime is 12122112100999. The next prime is 12122112101059. The reversal of 12122112101022 is 22010121122121.

12122112101022 is a `hidden beast` number, since 1 + 212 + 211 + 210 + 10 + 22 = 666.

12122112101022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 12122112100986 and 12122112101004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 43043247 + ... + 43323957.

It is an arithmetic number, because the mean of its divisors is an integer number (231512449896).

Almost surely, 2^{12122112101022} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12122112101022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16668896392512).

12122112101022 is an abundant number, since it is smaller than the sum of its proper divisors (21215680684002).

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

12122112101022 is a wasteful number, since it uses less digits than its factorization.

12122112101022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285195 (or 285185 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12122112101022 its reverse (22010121122121), we get a palindrome (34132233223143).

The spelling of 12122112101022 in words is "twelve trillion, one hundred twenty-two billion, one hundred twelve million, one hundred one thousand, twenty-two".