12947171328 has 768 divisors, whose sum is σ = 49312972800. Its totient is φ = 3264675840.

The previous prime is 12947171309. The next prime is 12947171329. The reversal of 12947171328 is 82317174921.

It is a tau number, because it is divible by the number of its divisors (768).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12947171329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 155989975 + ... + 155990057.

It is an arithmetic number, because the mean of its divisors is an integer number (64209600).

Almost surely, 2^12947171328 is an apocalyptic number.

12947171328 is a gapful number since it is divisible by the number (18) 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 12947171328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24656486400).

12947171328 is an abundant number, since it is smaller than the sum of its proper divisors (36365801472).

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

12947171328 is a wasteful number, since it uses less digits than its factorization.

12947171328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 139 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The spelling of 12947171328 in words is "twelve billion, nine hundred forty-seven million, one hundred seventy-one thousand, three hundred twenty-eight".