11312 has 20 divisors (see below), whose sum is σ = 25296. Its totient is φ = 4800.

The previous prime is 11311. The next prime is 11317. The reversal of 11312 is 21311.

11312 = T₃₃ + T₃₄ + ... + T₄₆.

It is a super-2 number, since 2×11312² = 255922688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a plaindrome in base 12.

It is a nialpdrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 11312.

It is not an unprimeable number, because it can be changed into a prime (11311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 62 + ... + 162.

2¹¹³¹² 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 11312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12648).

11312 is an abundant number, since it is smaller than the sum of its proper divisors (13984).

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

11312 is a wasteful number, since it uses less digits than its factorization.

11312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 110 counting only the distinct ones).

The product of its digits is 6, while the sum is 8.

The square root of 11312 is about 106.3578864025. The cubic root of 11312 is about 22.4481108788.

Adding to 11312 its reverse (21311), we get a palindrome (32623).

Subtracting 11312 from its reverse (21311), we obtain a palindrome (9999).

It can be divided in two parts, 113 and 12, that added together give a cube (125 = 5³).

The spelling of 11312 in words is "eleven thousand, three hundred twelve", and thus it is an iban number.