112134431211 has 64 divisors (see below), whose sum is σ = 176714956800. Its totient is φ = 62506339200.

The previous prime is 112134431183. The next prime is 112134431239.

112134431211 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (112134431183) and next prime (112134431239).

It is not a de Polignac number, because 112134431211 - 2⁶ = 112134431147 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112134431291) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11107276 + ... + 11117366.

It is an arithmetic number, because the mean of its divisors is an integer number (2761171200).

Almost surely, 2^112134431211 is an apocalyptic number.

112134431211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112134431211 is a deficient number, since it is larger than the sum of its proper divisors (64580525589).

112134431211 is a wasteful number, since it uses less digits than its factorization.

112134431211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10640.

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

It can be divided in two parts, 112134 and 431211, that added together give a palindrome (543345).

The spelling of 112134431211 in words is "one hundred twelve billion, one hundred thirty-four million, four hundred thirty-one thousand, two hundred eleven".