12283560 has 96 divisors (see below), whose sum is σ = 40365000. Its totient is φ = 3239424.

The previous prime is 12283553. The next prime is 12283561. The reversal of 12283560 is 6538221.

12283560 is a `hidden beast` number, since 1 + 22 + 83 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10227204 + 2056356 = 3198^2 + 1434^2 .

It is not an unprimeable number, because it can be changed into a prime (12283561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53526 + ... + 53754.

Almost surely, 2^12283560 is an apocalyptic number.

12283560 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 12283560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20182500).

12283560 is an abundant number, since it is smaller than the sum of its proper divisors (28081440).

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

12283560 is a wasteful number, since it uses less digits than its factorization.

12283560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 12283560 is about 3504.7910066080. The cubic root of 12283560 is about 230.7321345499.

The spelling of 12283560 in words is "twelve million, two hundred eighty-three thousand, five hundred sixty".