12421440024 has 192 divisors, whose sum is σ = 36698624640. Its totient is φ = 3493002240.

The previous prime is 12421440001. The next prime is 12421440041. The reversal of 12421440024 is 42004412421.

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 = 12421439976 and 12421440003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28039147 + ... + 28039589.

It is an arithmetic number, because the mean of its divisors is an integer number (191138670).

Almost surely, 2^12421440024 is an apocalyptic number.

12421440024 is a gapful number since it is divisible by the number (14) 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 12421440024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18349312320).

12421440024 is an abundant number, since it is smaller than the sum of its proper divisors (24277184616).

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

12421440024 is a wasteful number, since it uses less digits than its factorization.

12421440024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 12421440024 its reverse (42004412421), we get a palindrome (54425852445).

The spelling of 12421440024 in words is "twelve billion, four hundred twenty-one million, four hundred forty thousand, twenty-four".