12712884984 has 256 divisors, whose sum is σ = 37914624000. Its totient is φ = 3939788160.

The previous prime is 12712884983. The next prime is 12712885001. The reversal of 12712884984 is 48948821721.

12712884984 is a `hidden beast` number, since 1 + 2 + 71 + 2 + 88 + 498 + 4 = 666.

It is a super-3 number, since 3×12712884984³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 12712884984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12712884983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19290847 + ... + 19291505.

It is an arithmetic number, because the mean of its divisors is an integer number (148104000).

Almost surely, 2^12712884984 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 12712884984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18957312000).

12712884984 is an abundant number, since it is smaller than the sum of its proper divisors (25201739016).

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

12712884984 is a wasteful number, since it uses less digits than its factorization.

12712884984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 805 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 54.

The spelling of 12712884984 in words is "twelve billion, seven hundred twelve million, eight hundred eighty-four thousand, nine hundred eighty-four".