12330480 has 80 divisors (see below), whose sum is σ = 38747520. Its totient is φ = 3243264.

The previous prime is 12330473. The next prime is 12330517. The reversal of 12330480 is 8403321.

It is a happy number.

12330480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19611 + ... + 20229.

It is an arithmetic number, because the mean of its divisors is an integer number (484344).

Almost surely, 2^12330480 is an apocalyptic number.

12330480 is a gapful number since it is divisible by the number (10) 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 12330480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19373760).

12330480 is an abundant number, since it is smaller than the sum of its proper divisors (26417040).

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

12330480 is a wasteful number, since it uses less digits than its factorization.

12330480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 12330480 is about 3511.4783211633. The cubic root of 12330480 is about 231.0255401757.

It can be divided in two parts, 123 and 30480, that added together give a palindrome (30603).

The spelling of 12330480 in words is "twelve million, three hundred thirty thousand, four hundred eighty".