3001244403120 has 320 divisors, whose sum is σ = 9564437836800. Its totient is φ = 778240512000.

The previous prime is 3001244403103. The next prime is 3001244403121. The reversal of 3001244403120 is 213044421003.

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

It is not an unprimeable number, because it can be changed into a prime (3001244403121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1429843831 + ... + 1429845929.

It is an arithmetic number, because the mean of its divisors is an integer number (29888868240).

Almost surely, 2^{3001244403120} is an apocalyptic number.

3001244403120 is a gapful number since it is divisible by the number (30) 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 3001244403120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4782218918400).

3001244403120 is an abundant number, since it is smaller than the sum of its proper divisors (6563193433680).

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

3001244403120 is a wasteful number, since it uses less digits than its factorization.

3001244403120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3244 (or 3238 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 3001244403120 its reverse (213044421003), we get a palindrome (3214288824123).

The spelling of 3001244403120 in words is "three trillion, one billion, two hundred forty-four million, four hundred three thousand, one hundred twenty".