12024102130040 has 256 divisors, whose sum is σ = 36329294776320. Its totient is φ = 3459031050240.

The previous prime is 12024102130037. The next prime is 12024102130211. The reversal of 12024102130040 is 4003120142021.

12024102130040 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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 12024102129994 and 12024102130021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 419484749 + ... + 419513411.

It is an arithmetic number, because the mean of its divisors is an integer number (141911307720).

Almost surely, 2^{12024102130040} is an apocalyptic number.

12024102130040 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 12024102130040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18164647388160).

12024102130040 is an abundant number, since it is smaller than the sum of its proper divisors (24305192646280).

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

12024102130040 is a wasteful number, since it uses less digits than its factorization.

12024102130040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39182 (or 39178 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 12024102130040 its reverse (4003120142021), we get a palindrome (16027222272061).

The spelling of 12024102130040 in words is "twelve trillion, twenty-four billion, one hundred two million, one hundred thirty thousand, forty".