12724124256 has 288 divisors, whose sum is σ = 38167234560. Its totient is φ = 4017641472.

The previous prime is 12724124123. The next prime is 12724124263. The reversal of 12724124256 is 65242142721.

12724124256 is a `hidden beast` number, since 127 + 241 + 242 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12724124256.

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, 78062031 + ... + 78062193.

It is an arithmetic number, because the mean of its divisors is an integer number (132525120).

Almost surely, 2^12724124256 is an apocalyptic number.

12724124256 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 12724124256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19083617280).

12724124256 is an abundant number, since it is smaller than the sum of its proper divisors (25443110304).

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

12724124256 is a wasteful number, since it uses less digits than its factorization.

12724124256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 367 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

Adding to 12724124256 its reverse (65242142721), we get a palindrome (77966266977).

The spelling of 12724124256 in words is "twelve billion, seven hundred twenty-four million, one hundred twenty-four thousand, two hundred fifty-six".