12122110112112 has 1440 divisors, whose sum is σ = 49177763421696. Its totient is φ = 2734141132800.

The previous prime is 12122110111939. The next prime is 12122110112237. The reversal of 12122110112112 is 21121101122121.

It is a happy number.

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 (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1415633943 + ... + 1415642505.

Almost surely, 2^{12122110112112} is an apocalyptic number.

12122110112112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12122110112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24588881710848).

12122110112112 is an abundant number, since it is smaller than the sum of its proper divisors (37055653309584).

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

12122110112112 is a wasteful number, since it uses less digits than its factorization.

12122110112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8699 (or 8683 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 12122110112112 its reverse (21121101122121), we get a palindrome (33243211234233).

The spelling of 12122110112112 in words is "twelve trillion, one hundred twenty-two billion, one hundred ten million, one hundred twelve thousand, one hundred twelve".