12441120531840 has 3584 divisors, whose sum is σ = 63435070218240. Its totient is φ = 2244504453120.

The previous prime is 12441120531787. The next prime is 12441120531841. The reversal of 12441120531840 is 4813502114421.

12441120531840 is a `hidden beast` number, since 1 + 2 + 4 + 4 + 112 + 0 + 531 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12441120531795 and 12441120531804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12441120531841) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 7939450737 + ... + 7939452303.

It is an arithmetic number, because the mean of its divisors is an integer number (17699517360).

Almost surely, 2^{12441120531840} is an apocalyptic number.

12441120531840 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 12441120531840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31717535109120).

12441120531840 is an abundant number, since it is smaller than the sum of its proper divisors (50993949686400).

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

12441120531840 is a wasteful number, since it uses less digits than its factorization.

12441120531840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 12441120531840 in words is "twelve trillion, four hundred forty-one billion, one hundred twenty million, five hundred thirty-one thousand, eight hundred forty".