12724111152 has 400 divisors, whose sum is σ = 40229925120. Its totient is φ = 3871701504.

The previous prime is 12724111151. The next prime is 12724111163. The reversal of 12724111152 is 25111142721.

12724111152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12724111151) 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 79 ways as a sum of consecutive naturals, for example, 91540299 + ... + 91540437.

Almost surely, 2^12724111152 is an apocalyptic number.

12724111152 is a gapful number since it is divisible by the number (12) 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 12724111152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20114962560).

12724111152 is an abundant number, since it is smaller than the sum of its proper divisors (27505813968).

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

12724111152 is a wasteful number, since it uses less digits than its factorization.

12724111152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 287 counting only the distinct ones).

The product of its digits is 1120, while the sum is 27.

Adding to 12724111152 its reverse (25111142721), we get a palindrome (37835253873).

The spelling of 12724111152 in words is "twelve billion, seven hundred twenty-four million, one hundred eleven thousand, one hundred fifty-two".