12331114200240 has 640 divisors, whose sum is σ = 44402561482752. Its totient is φ = 2803733237760.

The previous prime is 12331114200211. The next prime is 12331114200247. The reversal of 12331114200240 is 4200241113321.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12331114200240.

It is not an unprimeable number, because it can be changed into a prime (12331114200247) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 282756517 + ... + 282800123.

Almost surely, 2^{12331114200240} is an apocalyptic number.

12331114200240 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 12331114200240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22201280741376).

12331114200240 is an abundant number, since it is smaller than the sum of its proper divisors (32071447282512).

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

12331114200240 is a wasteful number, since it uses less digits than its factorization.

12331114200240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43777 (or 43771 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 12331114200240 its reverse (4200241113321), we get a palindrome (16531355313561).

The spelling of 12331114200240 in words is "twelve trillion, three hundred thirty-one billion, one hundred fourteen million, two hundred thousand, two hundred forty".