112193512209 has 15 divisors (see below), whose sum is σ = 167602219147. Its totient is φ = 74793665088.

The previous prime is 112193512201. The next prime is 112193512247. The reversal of 112193512209 is 902215391211.

The square root of 112193512209 is 334953.

It is a perfect power (a square), and thus also a powerful number.

112193512209 is a `hidden beast` number, since 11 + 21 + 93 + 512 + 20 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 49557438225 + 62636073984 = 222615^2 + 250272^2 .

It is not a de Polignac number, because 112193512209 - 2³ = 112193512201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112193512201) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2995969 + ... + 3033185.

Almost surely, 2^112193512209 is an apocalyptic number.

112193512209 is the 334953-rd square number.

112193512209 is the 167477-th centered octagonal number.

It is an amenable number.

112193512209 is a deficient number, since it is larger than the sum of its proper divisors (55408706938).

112193512209 is an frugal number, since it uses more digits than its factorization.

112193512209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74446 (or 37220 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

Multiplying 112193512209 by its sum of digits (36), we get a square (4038966439524 = 2009718²).

The spelling of 112193512209 in words is "one hundred twelve billion, one hundred ninety-three million, five hundred twelve thousand, two hundred nine".