311126112 has 288 divisors, whose sum is σ = 1050809760. Its totient is φ = 86261760.

The previous prime is 311126089. The next prime is 311126117. The reversal of 311126112 is 211621113.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311126117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2854314 + ... + 2854422.

It is an arithmetic number, because the mean of its divisors is an integer number (3648645).

Almost surely, 2^311126112 is an apocalyptic number.

311126112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311126112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525404880).

311126112 is an abundant number, since it is smaller than the sum of its proper divisors (739683648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

311126112 is a wasteful number, since it uses less digits than its factorization.

311126112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 195 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

The square root of 311126112 is about 17638.7673038679. The cubic root of 311126112 is about 677.6084616412.

Adding to 311126112 its reverse (211621113), we get a palindrome (522747225).

The spelling of 311126112 in words is "three hundred eleven million, one hundred twenty-six thousand, one hundred twelve".