12122111100112 has 60 divisors (see below), whose sum is σ = 25440051916620. Its totient is φ = 5593098660864.

The previous prime is 12122111100091. The next prime is 12122111100149. The reversal of 12122111100112 is 21100111122121.

It can be written as a sum of positive squares in 6 ways, for example, as 2768643077776 + 9353468022336 = 1663924^2 + 3058344^2 .

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8118714 + ... + 9495142.

It is an arithmetic number, because the mean of its divisors is an integer number (424000865277).

Almost surely, 2^{12122111100112} 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 12122111100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12720025958310).

12122111100112 is an abundant number, since it is smaller than the sum of its proper divisors (13317940816508).

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

12122111100112 is a wasteful number, since it uses less digits than its factorization.

12122111100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379720 (or 1379701 counting only the distinct ones).

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

Adding to 12122111100112 its reverse (21100111122121), we get a palindrome (33222222222233).

The spelling of 12122111100112 in words is "twelve trillion, one hundred twenty-two billion, one hundred eleven million, one hundred thousand, one hundred twelve".