112212101120 has 144 divisors (see below), whose sum is σ = 313202782620. Its totient is φ = 38472548352.

The previous prime is 112212101119. The next prime is 112212101123. The reversal of 112212101120 is 21101212211.

It can be written as a sum of positive squares in 2 ways, for example, as 103900496896 + 8311604224 = 322336^2 + 91168^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 112212101095 and 112212101104.

It is not an unprimeable number, because it can be changed into a prime (112212101123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 389942 + ... + 613578.

Almost surely, 2^112212101120 is an apocalyptic number.

112212101120 is a gapful number since it is divisible by the number (10) 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 112212101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156601391310).

112212101120 is an abundant number, since it is smaller than the sum of its proper divisors (200990681500).

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

112212101120 is an equidigital number, since it uses as much as digits as its factorization.

112212101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223678 (or 223651 counting only the distinct ones).

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

Adding to 112212101120 its reverse (21101212211), we get a palindrome (133313313331).

The spelling of 112212101120 in words is "one hundred twelve billion, two hundred twelve million, one hundred one thousand, one hundred twenty".