12721895424 has 384 divisors, whose sum is σ = 44972928000. Its totient is φ = 3474358272.

The previous prime is 12721895423. The next prime is 12721895437. The reversal of 12721895424 is 42459812721.

12721895424 is a `hidden beast` number, since 1 + 2 + 7 + 21 + 89 + 542 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 12721895424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12721895423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8901942 + ... + 8903370.

It is an arithmetic number, because the mean of its divisors is an integer number (117117000).

Almost surely, 2^12721895424 is an apocalyptic number.

12721895424 is a gapful number since it is divisible by the number (14) 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 12721895424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22486464000).

12721895424 is an abundant number, since it is smaller than the sum of its proper divisors (32251032576).

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

12721895424 is a wasteful number, since it uses less digits than its factorization.

12721895424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1464 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 12721895424 in words is "twelve billion, seven hundred twenty-one million, eight hundred ninety-five thousand, four hundred twenty-four".