12211102112 has 96 divisors (see below), whose sum is σ = 26471914560. Its totient is φ = 5498798080.

The previous prime is 12211102103. The next prime is 12211102121. The reversal of 12211102112 is 21120111221.

12211102112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12211102103) and next prime (12211102121).

It is a super-2 number, since 2×12211102112² (a number of 21 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 31390814 + ... + 31391202.

It is an arithmetic number, because the mean of its divisors is an integer number (275749110).

Almost surely, 2^12211102112 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 12211102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13235957280).

12211102112 is an abundant number, since it is smaller than the sum of its proper divisors (14260812448).

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

12211102112 is a wasteful number, since it uses less digits than its factorization.

12211102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12211102112 its reverse (21120111221), we get a palindrome (33331213333).

The spelling of 12211102112 in words is "twelve billion, two hundred eleven million, one hundred two thousand, one hundred twelve".