112224461 has 8 divisors (see below), whose sum is σ = 117401400. Its totient is φ = 107134720.

The previous prime is 112224449. The next prime is 112224473. The reversal of 112224461 is 164422211.

It is an interprime number because it is at equal distance from previous prime (112224449) and next prime (112224473).

It can be written as a sum of positive squares in 4 ways, for example, as 12823561 + 99400900 = 3581^2 + 9970^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 112224461 - 2¹⁸ = 111962317 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112224491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19160 + ... + 24321.

It is an arithmetic number, because the mean of its divisors is an integer number (14675175).

Almost surely, 2^112224461 is an apocalyptic number.

It is an amenable number.

112224461 is a deficient number, since it is larger than the sum of its proper divisors (5176939).

112224461 is an equidigital number, since it uses as much as digits as its factorization.

112224461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43599.

The product of its digits is 768, while the sum is 23.

The square root of 112224461 is about 10593.6047217177. The cubic root of 112224461 is about 482.3502516131.

Adding to 112224461 its reverse (164422211), we get a palindrome (276646672).

The spelling of 112224461 in words is "one hundred twelve million, two hundred twenty-four thousand, four hundred sixty-one".