112201121112 has 64 divisors (see below), whose sum is σ = 286819729920. Its totient is φ = 36560055168.

The previous prime is 112201121111. The next prime is 112201121113. The reversal of 112201121112 is 211121102211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (112201121111) and next prime (112201121113).

It is a junction number, because it is equal to n+sod(n) for n = 112201121091 and 112201121100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112201121111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 872718 + ... + 992994.

It is an arithmetic number, because the mean of its divisors is an integer number (4481558280).

Almost surely, 2^112201121112 is an apocalyptic number.

112201121112 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 112201121112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143409864960).

112201121112 is an abundant number, since it is smaller than the sum of its proper divisors (174618608808).

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

112201121112 is a wasteful number, since it uses less digits than its factorization.

112201121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121160 (or 121156 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 112201121112 its reverse (211121102211), we get a palindrome (323322223323).

The spelling of 112201121112 in words is "one hundred twelve billion, two hundred one million, one hundred twenty-one thousand, one hundred twelve".