12100000111122 has 128 divisors (see below), whose sum is σ = 31022196480000. Its totient is φ = 3118865131200.

The previous prime is 12100000111057. The next prime is 12100000111163. The reversal of 12100000111122 is 22111100000121.

It is a junction number, because it is equal to n+sod(n) for n = 12100000111098 and 12100000111107.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 925504 + ... + 5005652.

It is an arithmetic number, because the mean of its divisors is an integer number (242360910000).

Almost surely, 2^{12100000111122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12100000111122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15511098240000).

12100000111122 is an abundant number, since it is smaller than the sum of its proper divisors (18922196368878).

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

12100000111122 is a wasteful number, since it uses less digits than its factorization.

12100000111122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4080317 (or 4080303 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12100000111122 its reverse (22111100000121), we get a palindrome (34211100111243).

The spelling of 12100000111122 in words is "twelve trillion, one hundred billion, one hundred eleven thousand, one hundred twenty-two".