11331112 has 72 divisors (see below), whose sum is σ = 25281450. Its totient is φ = 4752384.

The previous prime is 11331091. The next prime is 11331121. The reversal of 11331112 is 21113311.

It can be written as a sum of positive squares in 9 ways, for example, as 1052676 + 10278436 = 1026^2 + 3206^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 11331092 and 11331101.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 390714 + ... + 390742.

Almost surely, 2^11331112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11331112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12640725).

11331112 is an abundant number, since it is smaller than the sum of its proper divisors (13950338).

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

11331112 is a wasteful number, since it uses less digits than its factorization.

11331112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 61 counting only the distinct ones).

The product of its digits is 18, while the sum is 13.

The square root of 11331112 is about 3366.1717127918. The cubic root of 11331112 is about 224.6074604217.

Adding to 11331112 its reverse (21113311), we get a palindrome (32444423).

The spelling of 11331112 in words is "eleven million, three hundred thirty-one thousand, one hundred twelve".