12240012324040 has 64 divisors (see below), whose sum is σ = 27881228732400. Its totient is φ = 4835472457728.

The previous prime is 12240012324013. The next prime is 12240012324053. The reversal of 12240012324040 is 4042321004221.

It can be written as a sum of positive squares in 8 ways, for example, as 3271460803524 + 8968551520516 = 1808718^2 + 2994754^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12240012323996 and 12240012324014.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1161912 + ... + 5082328.

Almost surely, 2^{12240012324040} is an apocalyptic number.

12240012324040 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 12240012324040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13940614366200).

12240012324040 is an abundant number, since it is smaller than the sum of its proper divisors (15641216408360).

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

12240012324040 is a wasteful number, since it uses less digits than its factorization.

12240012324040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3921394 (or 3921390 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 12240012324040 its reverse (4042321004221), we get a palindrome (16282333328261).

The spelling of 12240012324040 in words is "twelve trillion, two hundred forty billion, twelve million, three hundred twenty-four thousand, forty".