112205041 has 16 divisors (see below), whose sum is σ = 123430608. Its totient is φ = 101376000.

The previous prime is 112205039. The next prime is 112205057. The reversal of 112205041 is 140502211.

It can be written as a sum of positive squares in 8 ways, for example, as 1218816 + 110986225 = 1104^2 + 10535^2 .

It is a cyclic number.

It is not a de Polignac number, because 112205041 - 2¹ = 112205039 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112200041) 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 15 ways as a sum of consecutive naturals, for example, 126921 + ... + 127801.

It is an arithmetic number, because the mean of its divisors is an integer number (7714413).

Almost surely, 2^112205041 is an apocalyptic number.

It is an amenable number.

112205041 is a deficient number, since it is larger than the sum of its proper divisors (11225567).

112205041 is a wasteful number, since it uses less digits than its factorization.

112205041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092.

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 112205041 is about 10592.6880913204. The cubic root of 112205041 is about 482.3224270723.

Adding to 112205041 its reverse (140502211), we get a palindrome (252707252).

It can be divided in two parts, 11220 and 5041, that added together give a palindrome (16261).

The spelling of 112205041 in words is "one hundred twelve million, two hundred five thousand, forty-one".