112344443211 has 288 divisors, whose sum is σ = 217354669056. Its totient is φ = 50948352000.

The previous prime is 112344443179. The next prime is 112344443213.

It is a happy number.

112344443211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 112344443211 - 2⁵ = 112344443179 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112344443213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 414555006 + ... + 414555276.

It is an arithmetic number, because the mean of its divisors is an integer number (754703712).

Almost surely, 2^112344443211 is an apocalyptic number.

112344443211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112344443211 is a deficient number, since it is larger than the sum of its proper divisors (105010225845).

112344443211 is a wasteful number, since it uses less digits than its factorization.

112344443211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 383 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

It can be divided in two parts, 112344 and 443211, that added together give a palindrome (555555).

The spelling of 112344443211 in words is "one hundred twelve billion, three hundred forty-four million, four hundred forty-three thousand, two hundred eleven".