11325312 has 128 divisors (see below), whose sum is σ = 34884000. Its totient is φ = 3612672.

The previous prime is 11325287. The next prime is 11325317. The reversal of 11325312 is 21352311.

11325312 is a `hidden beast` number, since 1 + 132 + 531 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11325317) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 100168 + ... + 100280.

Almost surely, 2^11325312 is an apocalyptic number.

11325312 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 11325312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17442000).

11325312 is an abundant number, since it is smaller than the sum of its proper divisors (23558688).

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

11325312 is a wasteful number, since it uses less digits than its factorization.

11325312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 147 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 11325312 is about 3365.3100897243. The cubic root of 11325312 is about 224.5691309795.

Adding to 11325312 its reverse (21352311), we get a palindrome (32677623).

It can be divided in two parts, 113 and 25312, that added together give a triangular number (25425 = T₂₂₅).

The spelling of 11325312 in words is "eleven million, three hundred twenty-five thousand, three hundred twelve".