112113585311211 has 108 divisors (see below), whose sum is σ = 182985350725632. Its totient is φ = 66095933904000.

The previous prime is 112113585311129. The next prime is 112113585311261.

112113585311211 is a `hidden beast` number, since 1 + 1 + 2 + 113 + 5 + 8 + 531 + 1 + 2 + 1 + 1 = 666.

112113585311211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 112113585311211 - 2⁷ = 112113585311083 is a prime.

It is a super-2 number, since 2×112113585311211² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112113585311261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 12211474041 + ... + 12211483221.

Almost surely, 2^{112113585311211} is an apocalyptic number.

112113585311211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112113585311211 is a deficient number, since it is larger than the sum of its proper divisors (70871765414421).

112113585311211 is a wasteful number, since it uses less digits than its factorization.

112113585311211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17474 (or 17423 counting only the distinct ones).

The product of its digits is 7200, while the sum is 36.

The spelling of 112113585311211 in words is "one hundred twelve trillion, one hundred thirteen billion, five hundred eighty-five million, three hundred eleven thousand, two hundred eleven".