112216005 has 72 divisors (see below), whose sum is σ = 219970296. Its totient is φ = 52842240.

The previous prime is 112215991. The next prime is 112216019. The reversal of 112216005 is 500612211.

It is an interprime number because it is at equal distance from previous prime (112215991) and next prime (112216019).

It can be written as a sum of positive squares in 4 ways, for example, as 10246401 + 101969604 = 3201^2 + 10098^2 .

It is not a de Polignac number, because 112216005 - 2⁴ = 112215989 is a prime.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 201187 + ... + 201743.

It is an arithmetic number, because the mean of its divisors is an integer number (3055143).

Almost surely, 2^112216005 is an apocalyptic number.

112216005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

112216005 is a deficient number, since it is larger than the sum of its proper divisors (107754291).

112216005 is a wasteful number, since it uses less digits than its factorization.

112216005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 112216005 is about 10593.2056054813. The cubic root of 112216005 is about 482.3381364404.

Adding to 112216005 its reverse (500612211), we get a palindrome (612828216).

The spelling of 112216005 in words is "one hundred twelve million, two hundred sixteen thousand, five".