12212111122112 has 224 divisors, whose sum is σ = 27306955726848. Its totient is φ = 5370624000000.

The previous prime is 12212111122093. The next prime is 12212111122121. The reversal of 12212111122112 is 21122111121221.

It is a happy number.

12212111122112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12212111122112² (a number of 27 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1744334612 + ... + 1744341612.

It is an arithmetic number, because the mean of its divisors is an integer number (121906052352).

Almost surely, 2^{12212111122112} 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 12212111122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13653477863424).

12212111122112 is an abundant number, since it is smaller than the sum of its proper divisors (15094844604736).

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

12212111122112 is a wasteful number, since it uses less digits than its factorization.

12212111122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7559 (or 7549 counting only the distinct ones).

The product of its digits is 64, while the sum is 20.

Adding to 12212111122112 its reverse (21122111121221), we get a palindrome (33334222243333).

The spelling of 12212111122112 in words is "twelve trillion, two hundred twelve billion, one hundred eleven million, one hundred twenty-two thousand, one hundred twelve".