12324031433040 has 320 divisors, whose sum is σ = 38742663168000. Its totient is φ = 3240451049472.

The previous prime is 12324031433027. The next prime is 12324031433059. The reversal of 12324031433040 is 4033413042321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12324031432989 and 12324031433007.

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 63 ways as a sum of consecutive naturals, for example, 5750830209 + ... + 5750832351.

It is an arithmetic number, because the mean of its divisors is an integer number (121070822400).

Almost surely, 2^{12324031433040} is an apocalyptic number.

12324031433040 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 12324031433040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19371331584000).

12324031433040 is an abundant number, since it is smaller than the sum of its proper divisors (26418631734960).

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

12324031433040 is a wasteful number, since it uses less digits than its factorization.

12324031433040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3234 (or 3228 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 12324031433040 its reverse (4033413042321), we get a palindrome (16357444475361).

The spelling of 12324031433040 in words is "twelve trillion, three hundred twenty-four billion, thirty-one million, four hundred thirty-three thousand, forty".