12660281712 has 240 divisors, whose sum is σ = 40032021120. Its totient is φ = 3708592128.

The previous prime is 12660281707. The next prime is 12660281729. The reversal of 12660281712 is 21718206621.

12660281712 is a `hidden beast` number, since 1 + 26 + 602 + 8 + 17 + 12 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3253464 + ... + 3257352.

It is an arithmetic number, because the mean of its divisors is an integer number (166800088).

Almost surely, 2^12660281712 is an apocalyptic number.

12660281712 is a gapful number since it is divisible by the number (12) 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 12660281712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20016010560).

12660281712 is an abundant number, since it is smaller than the sum of its proper divisors (27371739408).

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

12660281712 is a wasteful number, since it uses less digits than its factorization.

12660281712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4000 (or 3991 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 12660281712 in words is "twelve billion, six hundred sixty million, two hundred eighty-one thousand, seven hundred twelve".