12724723000000 has 588 divisors, whose sum is σ = 35064211484848. Its totient is φ = 4577760000000.

The previous prime is 12724722999991. The next prime is 12724723000009. The reversal of 12724723000000 is 32742721.

It is an interprime number because it is at equal distance from previous prime (12724722999991) and next prime (12724723000009).

It is not an unprimeable number, because it can be changed into a prime (12724723000009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 12462999490 + ... + 12463000510.

Almost surely, 2^{12724723000000} is an apocalyptic number.

12724723000000 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 12724723000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17532105742424).

12724723000000 is an abundant number, since it is smaller than the sum of its proper divisors (22339488484848).

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

12724723000000 is an equidigital number, since it uses as much as digits as its factorization.

12724723000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

Adding to 12724723000000 its reverse (32742721), we get a palindrome (12724755742721).

The spelling of 12724723000000 in words is "twelve trillion, seven hundred twenty-four billion, seven hundred twenty-three million", and thus it is an aban number.