12440144000000 has 308 divisors, whose sum is σ = 31177170067740. Its totient is φ = 4961280000000.

The previous prime is 12440143999993. The next prime is 12440144000003. The reversal of 12440144000000 is 44104421.

It is a happy number.

It can be written as a sum of positive squares in 14 ways, for example, as 10296192077824 + 2143951922176 = 3208768^2 + 1464224^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12440144000003) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 6543999050 + ... + 6544000950.

Almost surely, 2^{12440144000000} is an apocalyptic number.

12440144000000 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 12440144000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15588585033870).

12440144000000 is an abundant number, since it is smaller than the sum of its proper divisors (18737026067740).

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

12440144000000 is an frugal number, since it uses more digits than its factorization.

12440144000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2360 (or 2317 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 12440144000000 its reverse (44104421), we get a palindrome (12440188104421).

The spelling of 12440144000000 in words is "twelve trillion, four hundred forty billion, one hundred forty-four million", and thus it is an aban number.