112221312 has 128 divisors (see below), whose sum is σ = 345461760. Its totient is φ = 31613952.

The previous prime is 112221283. The next prime is 112221331. The reversal of 112221312 is 213122211.

It is a tau number, because it is divible by the number of its divisors (128).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 112221291 and 112221300.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222853 + ... + 223355.

It is an arithmetic number, because the mean of its divisors is an integer number (2698920).

Almost surely, 2^112221312 is an apocalyptic number.

112221312 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 112221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172730880).

112221312 is an abundant number, since it is smaller than the sum of its proper divisors (233240448).

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

112221312 is an equidigital number, since it uses as much as digits as its factorization.

112221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 598 counting only the distinct ones).

The product of its digits is 48, while the sum is 15.

The square root of 112221312 is about 10593.4560932681. The cubic root of 112221312 is about 482.3457400145.

Adding to 112221312 its reverse (213122211), we get a palindrome (325343523).

The spelling of 112221312 in words is "one hundred twelve million, two hundred twenty-one thousand, three hundred twelve".