11311223112 has 144 divisors (see below), whose sum is σ = 36309103740. Its totient is φ = 3170748672.

The previous prime is 11311223069. The next prime is 11311223117. The reversal of 11311223112 is 21132211311.

It can be written as a sum of positive squares in 2 ways, for example, as 9966827556 + 1344395556 = 99834^2 + 36666^2 .

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 not an unprimeable number, because it can be changed into a prime (11311223117) 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 35 ways as a sum of consecutive naturals, for example, 156738 + ... + 217230.

Almost surely, 2^11311223112 is an apocalyptic number.

11311223112 is a gapful number since it is divisible by the number (12) 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 11311223112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18154551870).

11311223112 is an abundant number, since it is smaller than the sum of its proper divisors (24997880628).

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

11311223112 is a wasteful number, since it uses less digits than its factorization.

11311223112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60572 (or 60558 counting only the distinct ones).

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

Adding to 11311223112 its reverse (21132211311), we get a palindrome (32443434423).

The spelling of 11311223112 in words is "eleven billion, three hundred eleven million, two hundred twenty-three thousand, one hundred twelve".