12724131840 has 576 divisors, whose sum is σ = 48400934400. Its totient is φ = 2844721152.

The previous prime is 12724131821. The next prime is 12724131859. The reversal of 12724131840 is 4813142721.

It is an interprime number because it is at equal distance from previous prime (12724131821) and next prime (12724131859).

It is a super-3 number, since 3×12724131840³ (a number of 31 digits) contains 333 as substring.

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, 118917067 + ... + 118917173.

It is an arithmetic number, because the mean of its divisors is an integer number (84029400).

Almost surely, 2^12724131840 is an apocalyptic number.

12724131840 is a gapful number since it is divisible by the number (10) 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 12724131840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24200467200).

12724131840 is an abundant number, since it is smaller than the sum of its proper divisors (35676802560).

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

12724131840 is a wasteful number, since it uses less digits than its factorization.

12724131840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The spelling of 12724131840 in words is "twelve billion, seven hundred twenty-four million, one hundred thirty-one thousand, eight hundred forty".