12717034176 has 224 divisors, whose sum is σ = 42302338560. Its totient is φ = 3302661120.

The previous prime is 12717034163. The next prime is 12717034189. The reversal of 12717034176 is 67143071721.

It is an interprime number because it is at equal distance from previous prime (12717034163) and next prime (12717034189).

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1785310 + ... + 1792418.

Almost surely, 2^12717034176 is an apocalyptic number.

12717034176 is a gapful number since it is divisible by the number (16) 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 12717034176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21151169280).

12717034176 is an abundant number, since it is smaller than the sum of its proper divisors (29585304384).

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

12717034176 is an equidigital number, since it uses as much as digits as its factorization.

12717034176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7164 (or 7132 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 39.

The spelling of 12717034176 in words is "twelve billion, seven hundred seventeen million, thirty-four thousand, one hundred seventy-six".