112221760 has 168 divisors, whose sum is σ = 329924664. Its totient is φ = 36126720.

The previous prime is 112221757. The next prime is 112221773. The reversal of 112221760 is 67122211.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1382976 + 110838784 = 1176^2 + 10528^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 266350 + ... + 266770.

Almost surely, 2^112221760 is an apocalyptic number.

112221760 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 112221760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164962332).

112221760 is an abundant number, since it is smaller than the sum of its proper divisors (217702904).

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

112221760 is a wasteful number, since it uses less digits than its factorization.

112221760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 112221760 is about 10593.4772383765. The cubic root of 112221760 is about 482.3463818730.

Adding to 112221760 its reverse (67122211), we get a palindrome (179343971).

The spelling of 112221760 in words is "one hundred twelve million, two hundred twenty-one thousand, seven hundred sixty".