112380204508209 has 81 divisors (see below), whose sum is σ = 186533777966809. Its totient is φ = 65143280223120.

The previous prime is 112380204508177. The next prime is 112380204508241. The reversal of 112380204508209 is 902805402083211.

The square root of 112380204508209 is 10600953.

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

112380204508209 is a `hidden beast` number, since 1 + 1 + 2 + 380 + 20 + 45 + 0 + 8 + 209 = 666.

It is an interprime number because it is at equal distance from previous prime (112380204508177) and next prime (112380204508241).

It is not a de Polignac number, because 112380204508209 - 2⁵ = 112380204508177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112380204508909) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 8046116344 + ... + 8046130310.

Almost surely, 2^{112380204508209} is an apocalyptic number.

112380204508209 is the 10600953-rd square number.

112380204508209 is the 5300477-th centered octagonal number.

It is an amenable number.

112380204508209 is a deficient number, since it is larger than the sum of its proper divisors (74153573458600).

112380204508209 is an frugal number, since it uses more digits than its factorization.

112380204508209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28008 (or 14004 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 112380204508209 in words is "one hundred twelve trillion, three hundred eighty billion, two hundred four million, five hundred eight thousand, two hundred nine".