12211122100112 has 120 divisors (see below), whose sum is σ = 27002172609720. Its totient is φ = 5317113507840.

The previous prime is 12211122100103. The next prime is 12211122100141. The reversal of 12211122100112 is 21100122111221.

12211122100112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2059098721936 + 10152023378176 = 1434956^2 + 3186224^2 .

It is a super-2 number, since 2×12211122100112² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17758814 + ... + 18433602.

It is an arithmetic number, because the mean of its divisors is an integer number (225018105081).

Almost surely, 2^{12211122100112} 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 12211122100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13501086304860).

12211122100112 is an abundant number, since it is smaller than the sum of its proper divisors (14791050509608).

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

12211122100112 is a wasteful number, since it uses less digits than its factorization.

12211122100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675089 (or 675064 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 12211122100112 its reverse (21100122111221), we get a palindrome (33311244211333).

The spelling of 12211122100112 in words is "twelve trillion, two hundred eleven billion, one hundred twenty-two million, one hundred thousand, one hundred twelve".