3122244244224 has 576 divisors, whose sum is σ = 10689930316800. Its totient is φ = 880464494592.

The previous prime is 3122244244169. The next prime is 3122244244307. The reversal of 3122244244224 is 4224424422213.

3122244244224 is a `hidden beast` number, since 3 + 1 + 2 + 2 + 2 + 4 + 424 + 4 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2388862579 + ... + 2388863885.

It is an arithmetic number, because the mean of its divisors is an integer number (18558906800).

Almost surely, 2^{3122244244224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3122244244224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5344965158400).

3122244244224 is an abundant number, since it is smaller than the sum of its proper divisors (7567686072576).

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

3122244244224 is a wasteful number, since it uses less digits than its factorization.

3122244244224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945 (or 1925 counting only the distinct ones).

The product of its digits is 196608, while the sum is 36.

Adding to 3122244244224 its reverse (4224424422213), we get a palindrome (7346668666437).

The spelling of 3122244244224 in words is "three trillion, one hundred twenty-two billion, two hundred forty-four million, two hundred forty-four thousand, two hundred twenty-four".