12114304 has 64 divisors (see below), whose sum is σ = 25850880. Its totient is φ = 5644800.

The previous prime is 12114299. The next prime is 12114313. The reversal of 12114304 is 40341121.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×12114304³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170589 + ... + 170659.

It is an arithmetic number, because the mean of its divisors is an integer number (403920).

Almost surely, 2^12114304 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 12114304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12925440).

12114304 is an abundant number, since it is smaller than the sum of its proper divisors (13736576).

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

12114304 is an equidigital number, since it uses as much as digits as its factorization.

12114304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 12114304 is about 3480.5608743420. The cubic root of 12114304 is about 229.6674715811.

Adding to 12114304 its reverse (40341121), we get a palindrome (52455425).

The spelling of 12114304 in words is "twelve million, one hundred fourteen thousand, three hundred four".