3201121224224 has 288 divisors, whose sum is σ = 8192882013120. Its totient is φ = 1217048985600.

The previous prime is 3201121224221. The next prime is 3201121224233. The reversal of 3201121224224 is 4224221211023.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3201121224193 and 3201121224202.

It is not an unprimeable number, because it can be changed into a prime (3201121224221) 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 47 ways as a sum of consecutive naturals, for example, 139404104 + ... + 139427064.

It is an arithmetic number, because the mean of its divisors is an integer number (28447506990).

Almost surely, 2^{3201121224224} 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 3201121224224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4096441006560).

3201121224224 is an abundant number, since it is smaller than the sum of its proper divisors (4991760788896).

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

3201121224224 is a wasteful number, since it uses less digits than its factorization.

3201121224224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23192 (or 23177 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 3201121224224 its reverse (4224221211023), we get a palindrome (7425342435247).

The spelling of 3201121224224 in words is "three trillion, two hundred one billion, one hundred twenty-one million, two hundred twenty-four thousand, two hundred twenty-four".