110122212011112 has 256 divisors, whose sum is σ = 351448527667200. Its totient is φ = 31296650711040.

The previous prime is 110122212011087. The next prime is 110122212011117. The reversal of 110122212011112 is 211110212221011.

It is a happy number.

It is a super-2 number, since 2×110122212011112² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (110122212011117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3118619937 + ... + 3118655247.

It is an arithmetic number, because the mean of its divisors is an integer number (1372845811200).

Almost surely, 2^{110122212011112} is an apocalyptic number.

110122212011112 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 110122212011112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175724263833600).

110122212011112 is an abundant number, since it is smaller than the sum of its proper divisors (241326315656088).

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

110122212011112 is a wasteful number, since it uses less digits than its factorization.

110122212011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46213 (or 46203 counting only the distinct ones).

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

Adding to 110122212011112 its reverse (211110212221011), we get a palindrome (321232424232123).

The spelling of 110122212011112 in words is "one hundred ten trillion, one hundred twenty-two billion, two hundred twelve million, eleven thousand, one hundred twelve".