12418560 has 360 divisors, whose sum is σ = 54579096. Its totient is φ = 2580480.

The previous prime is 12418547. The next prime is 12418561. The reversal of 12418560 is 6581421.

12418560 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 (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12418561) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1128955 + ... + 1128965.

Almost surely, 2^12418560 is an apocalyptic number.

12418560 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 12418560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27289548).

12418560 is an abundant number, since it is smaller than the sum of its proper divisors (42160536).

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

12418560 is a wasteful number, since it uses less digits than its factorization.

12418560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 12418560 is about 3523.9977298517. The cubic root of 12418560 is about 231.5743284565.

Adding to 12418560 its reverse (6581421), we get a palindrome (18999981).

It can be divided in two parts, 1241 and 8560, that added together give a square (9801 = 99²).

The spelling of 12418560 in words is "twelve million, four hundred eighteen thousand, five hundred sixty".