12671260056 has 768 divisors, whose sum is σ = 48033216000. Its totient is φ = 3056901120.

The previous prime is 12671260033. The next prime is 12671260061. The reversal of 12671260056 is 65006217621.

It is a happy number.

It is a super-2 number, since 2×12671260056² (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12671260056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 96727111 + ... + 96727241.

It is an arithmetic number, because the mean of its divisors is an integer number (62543250).

Almost surely, 2^12671260056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12671260056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24016608000).

12671260056 is an abundant number, since it is smaller than the sum of its proper divisors (35361955944).

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

12671260056 is a wasteful number, since it uses less digits than its factorization.

12671260056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 12671260056 its reverse (65006217621), we get a palindrome (77677477677).

The spelling of 12671260056 in words is "twelve billion, six hundred seventy-one million, two hundred sixty thousand, fifty-six".