112431134211 has 64 divisors (see below), whose sum is σ = 173949714432. Its totient is φ = 63946800000.

The previous prime is 112431134197. The next prime is 112431134213.

112431134211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 112431134211 - 2¹⁰ = 112431133187 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112431134213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11766886 + ... + 11776436.

It is an arithmetic number, because the mean of its divisors is an integer number (2717964288).

Almost surely, 2^112431134211 is an apocalyptic number.

112431134211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112431134211 is a deficient number, since it is larger than the sum of its proper divisors (61518580221).

112431134211 is a wasteful number, since it uses less digits than its factorization.

112431134211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9944.

The product of its digits is 576, while the sum is 24.

It can be divided in two parts, 112431 and 134211, that added together give a palindrome (246642).

The spelling of 112431134211 in words is "one hundred twelve billion, four hundred thirty-one million, one hundred thirty-four thousand, two hundred eleven".