12282307560 has 512 divisors, whose sum is σ = 46142784000. Its totient is φ = 2887778304.

The previous prime is 12282307529. The next prime is 12282307573. The reversal of 12282307560 is 6570328221.

12282307560 is a `hidden beast` number, since 12 + 2 + 82 + 3 + 0 + 7 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 47790952 + ... + 47791208.

It is an arithmetic number, because the mean of its divisors is an integer number (90122625).

Almost surely, 2^12282307560 is an apocalyptic number.

12282307560 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 12282307560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23071392000).

12282307560 is an abundant number, since it is smaller than the sum of its proper divisors (33860476440).

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

12282307560 is a wasteful number, since it uses less digits than its factorization.

12282307560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 12282307560 in words is "twelve billion, two hundred eighty-two million, three hundred seven thousand, five hundred sixty".