12144141024 has 48 divisors (see below), whose sum is σ = 31884273792. Its totient is φ = 4047297408.

The previous prime is 12144140989. The next prime is 12144141043. The reversal of 12144141024 is 42014144121.

12144141024 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 super-2 number, since 2×12144141024² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12144140985 and 12144141003.

It is a congruent number.

It is an unprimeable number.

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, 803037 + ... + 818019.

It is an arithmetic number, because the mean of its divisors is an integer number (664255704).

Almost surely, 2^12144141024 is an apocalyptic number.

It is an amenable number.

12144141024 is an abundant number, since it is smaller than the sum of its proper divisors (19740132768).

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

12144141024 is a wasteful number, since it uses less digits than its factorization.

12144141024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23439 (or 23431 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 12144141024 its reverse (42014144121), we get a palindrome (54158285145).

The spelling of 12144141024 in words is "twelve billion, one hundred forty-four million, one hundred forty-one thousand, twenty-four".