3203321121 has 256 divisors, whose sum is σ = 6799564800. Its totient is φ = 1437004800.

The previous prime is 3203321087. The next prime is 3203321137. The reversal of 3203321121 is 1211233023.

3203321121 is a `hidden beast` number, since 320 + 3 + 321 + 1 + 21 = 666.

It is not a de Polignac number, because 3203321121 - 2⁹ = 3203320609 is a prime.

It is a super-4 number, since 4×3203321121⁴ (a number of 39 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 3203321094 and 3203321103.

It is not an unprimeable number, because it can be changed into a prime (3203321921) 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 255 ways as a sum of consecutive naturals, for example, 47810730 + ... + 47810796.

It is an arithmetic number, because the mean of its divisors is an integer number (26560800).

Almost surely, 2^3203321121 is an apocalyptic number.

It is an amenable number.

3203321121 is an abundant number, since it is smaller than the sum of its proper divisors (3596243679).

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

3203321121 is a wasteful number, since it uses less digits than its factorization.

3203321121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3203321121 is about 56597.8897221442. The cubic root of 3203321121 is about 1474.1222196259.

Adding to 3203321121 its reverse (1211233023), we get a palindrome (4414554144).

The spelling of 3203321121 in words is "three billion, two hundred three million, three hundred twenty-one thousand, one hundred twenty-one".