12124413312 has 128 divisors (see below), whose sum is σ = 35180697600. Its totient is φ = 3669104640.

The previous prime is 12124413299. The next prime is 12124413319. The reversal of 12124413312 is 21331442121.

12124413312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 (12124413319) 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 15 ways as a sum of consecutive naturals, for example, 4209889 + ... + 4212767.

It is an arithmetic number, because the mean of its divisors is an integer number (274849200).

Almost surely, 2^12124413312 is an apocalyptic number.

12124413312 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 12124413312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17590348800).

12124413312 is an abundant number, since it is smaller than the sum of its proper divisors (23056284288).

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

12124413312 is a wasteful number, since it uses less digits than its factorization.

12124413312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3904 (or 3892 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

Adding to 12124413312 its reverse (21331442121), we get a palindrome (33455855433).

The spelling of 12124413312 in words is "twelve billion, one hundred twenty-four million, four hundred thirteen thousand, three hundred twelve".