12724147128 has 192 divisors, whose sum is σ = 40449352320. Its totient is φ = 3298310400.

The previous prime is 12724147123. The next prime is 12724147133. The reversal of 12724147128 is 82174142721.

It is an interprime number because it is at equal distance from previous prime (12724147123) and next prime (12724147133).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12724147123) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 12560350 + ... + 12561362.

It is an arithmetic number, because the mean of its divisors is an integer number (210673710).

Almost surely, 2^12724147128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12724147128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20224676160).

12724147128 is an abundant number, since it is smaller than the sum of its proper divisors (27725205192).

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

12724147128 is a wasteful number, since it uses less digits than its factorization.

12724147128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2018 (or 2007 counting only the distinct ones).

The product of its digits is 50176, while the sum is 39.

Adding to 12724147128 its reverse (82174142721), we get a palindrome (94898289849).

The spelling of 12724147128 in words is "twelve billion, seven hundred twenty-four million, one hundred forty-seven thousand, one hundred twenty-eight".