12730883424 has 192 divisors, whose sum is σ = 40332096000. Its totient is φ = 3434876928.

The previous prime is 12730883419. The next prime is 12730883471. The reversal of 12730883424 is 42438803721.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 4454604 + ... + 4457460.

It is an arithmetic number, because the mean of its divisors is an integer number (210063000).

Almost surely, 2^12730883424 is an apocalyptic number.

12730883424 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 12730883424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20166048000).

12730883424 is an abundant number, since it is smaller than the sum of its proper divisors (27601212576).

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

12730883424 is a wasteful number, since it uses less digits than its factorization.

12730883424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3245 (or 3237 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 12730883424 in words is "twelve billion, seven hundred thirty million, eight hundred eighty-three thousand, four hundred twenty-four".