112243262342211 has 144 divisors (see below), whose sum is σ = 221060079665152. Its totient is φ = 53399134293120.

The previous prime is 112243262342177. The next prime is 112243262342219.

112243262342211 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 4 + 3 + 2 + 623 + 4 + 2 + 21 + 1 = 666.

112243262342211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 112243262342211 - 2⁹ = 112243262341699 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112243262342219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8126370 + ... + 17044776.

Almost surely, 2^{112243262342211} is an apocalyptic number.

112243262342211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112243262342211 is a deficient number, since it is larger than the sum of its proper divisors (108816817322941).

112243262342211 is a wasteful number, since it uses less digits than its factorization.

112243262342211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8918582 (or 8918568 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The spelling of 112243262342211 in words is "one hundred twelve trillion, two hundred forty-three billion, two hundred sixty-two million, three hundred forty-two thousand, two hundred eleven".