12729847872 has 112 divisors (see below), whose sum is σ = 39035077632. Its totient is φ = 3585845760.

The previous prime is 12729847811. The next prime is 12729847883. The reversal of 12729847872 is 27874892721.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×12729847872³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28723 + ... + 162125.

Almost surely, 2^12729847872 is an apocalyptic number.

12729847872 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 12729847872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19517538816).

12729847872 is an abundant number, since it is smaller than the sum of its proper divisors (26305229760).

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

12729847872 is a wasteful number, since it uses less digits than its factorization.

12729847872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133496 (or 133486 counting only the distinct ones).

The product of its digits is 6322176, while the sum is 57.

The spelling of 12729847872 in words is "twelve billion, seven hundred twenty-nine million, eight hundred forty-seven thousand, eight hundred seventy-two".