12045360 has 80 divisors (see below), whose sum is σ = 38568960. Its totient is φ = 3106560.

The previous prime is 12045347. The next prime is 12045409. The reversal of 12045360 is 6354021.

It is a happy number.

12045360 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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6631 + ... + 8249.

It is an arithmetic number, because the mean of its divisors is an integer number (482112).

Almost surely, 2^12045360 is an apocalyptic number.

12045360 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 12045360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19284480).

12045360 is an abundant number, since it is smaller than the sum of its proper divisors (26523600).

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

12045360 is a wasteful number, since it uses less digits than its factorization.

12045360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 12045360 is about 3470.6425917977. The cubic root of 12045360 is about 229.2309537915.

Adding to 12045360 its reverse (6354021), we get a palindrome (18399381).

The spelling of 12045360 in words is "twelve million, forty-five thousand, three hundred sixty".