12729249792 has 624 divisors, whose sum is σ = 45941680800. Its totient is φ = 3511517184.

The previous prime is 12729249779. The next prime is 12729249803. The reversal of 12729249792 is 29794292721.

12729249792 is a `hidden beast` number, since 127 + 29 + 2 + 497 + 9 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 438939634 + ... + 438939662.

Almost surely, 2^12729249792 is an apocalyptic number.

12729249792 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 12729249792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22970840400).

12729249792 is an abundant number, since it is smaller than the sum of its proper divisors (33212431008).

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

12729249792 is an frugal number, since it uses more digits than its factorization.

12729249792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 41 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The spelling of 12729249792 in words is "twelve billion, seven hundred twenty-nine million, two hundred forty-nine thousand, seven hundred ninety-two".