11307312 has 120 divisors (see below), whose sum is σ = 34819200. Its totient is φ = 3409920.

The previous prime is 11307293. The next prime is 11307319. The reversal of 11307312 is 21370311.

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

It is not an unprimeable number, because it can be changed into a prime (11307319) 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, 75814 + ... + 75962.

It is an arithmetic number, because the mean of its divisors is an integer number (290160).

Almost surely, 2^11307312 is an apocalyptic number.

11307312 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 11307312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17409600).

11307312 is an abundant number, since it is smaller than the sum of its proper divisors (23511888).

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

11307312 is a wasteful number, since it uses less digits than its factorization.

11307312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 11307312 is about 3362.6346813176. The cubic root of 11307312 is about 224.4500941477.

Adding to 11307312 its reverse (21370311), we get a palindrome (32677623).

The spelling of 11307312 in words is "eleven million, three hundred seven thousand, three hundred twelve".