12024441312 has 48 divisors (see below), whose sum is σ = 33992174160. Its totient is φ = 3699827712.

The previous prime is 12024441307. The next prime is 12024441313. The reversal of 12024441312 is 21314442021.

12024441312 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 (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12024441313) 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 7 ways as a sum of consecutive naturals, for example, 4816237 + ... + 4818732.

It is an arithmetic number, because the mean of its divisors is an integer number (708170295).

Almost surely, 2^12024441312 is an apocalyptic number.

12024441312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12024441312 is an abundant number, since it is smaller than the sum of its proper divisors (21967732848).

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

12024441312 is a wasteful number, since it uses less digits than its factorization.

12024441312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9634995 (or 9634987 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 12024441312 its reverse (21314442021), we get a palindrome (33338883333).

The spelling of 12024441312 in words is "twelve billion, twenty-four million, four hundred forty-one thousand, three hundred twelve".