112905969509211 has 16 divisors (see below), whose sum is σ = 154225590630048. Its totient is φ = 73428796390400.

The previous prime is 112905969509183. The next prime is 112905969509233.

112905969509211 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 112905969509211 - 2²² = 112905965314907 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112905969509251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35861586 + ... + 38882711.

It is an arithmetic number, because the mean of its divisors is an integer number (9639099414378).

Almost surely, 2^{112905969509211} is an apocalyptic number.

112905969509211 is a deficient number, since it is larger than the sum of its proper divisors (41319621120837).

112905969509211 is a wasteful number, since it uses less digits than its factorization.

112905969509211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74756622.

The product of its (nonzero) digits is 3936600, while the sum is 60.

The spelling of 112905969509211 in words is "one hundred twelve trillion, nine hundred five billion, nine hundred sixty-nine million, five hundred nine thousand, two hundred eleven".