11333112 has 96 divisors (see below), whose sum is σ = 34473600. Its totient is φ = 3089856.

The previous prime is 11333111. The next prime is 11333131. The reversal of 11333112 is 21133311.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11333091 and 11333100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11333111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26839 + ... + 27257.

It is an arithmetic number, because the mean of its divisors is an integer number (359100).

Almost surely, 2^11333112 is an apocalyptic number.

11333112 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 11333112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17236800).

11333112 is an abundant number, since it is smaller than the sum of its proper divisors (23140488).

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

11333112 is a wasteful number, since it uses less digits than its factorization.

11333112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 454 counting only the distinct ones).

The product of its digits is 54, while the sum is 15.

The square root of 11333112 is about 3366.4687730618. The cubic root of 11333112 is about 224.6206744379.

Adding to 11333112 its reverse (21133311), we get a palindrome (32466423).

It can be divided in two parts, 1133311 and 2, that multiplied together give a palindrome (2266622).

The spelling of 11333112 in words is "eleven million, three hundred thirty-three thousand, one hundred twelve".