11334312 has 72 divisors (see below), whose sum is σ = 33767370. Its totient is φ = 3432000.

The previous prime is 11334307. The next prime is 11334319. The reversal of 11334312 is 21343311.

11334312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 11329956 + 4356 = 3366^2 + 66^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

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

It is not an unprimeable number, because it can be changed into a prime (11334319) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8062 + ... + 9362.

Almost surely, 2^11334312 is an apocalyptic number.

11334312 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 11334312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16883685).

11334312 is an abundant number, since it is smaller than the sum of its proper divisors (22433058).

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

11334312 is a wasteful number, since it uses less digits than its factorization.

11334312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335 (or 1317 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 11334312 is about 3366.6469966422. The cubic root of 11334312 is about 224.6286021015.

Adding to 11334312 its reverse (21343311), we get a palindrome (32677623).

It can be divided in two parts, 1133 and 4312, that added together give a palindrome (5445).

The spelling of 11334312 in words is "eleven million, three hundred thirty-four thousand, three hundred twelve".