3222121320 has 192 divisors, whose sum is σ = 11733171840. Its totient is φ = 759974400.

The previous prime is 3222121319. The next prime is 3222121349. The reversal of 3222121320 is 231212223.

3222121320 is a `hidden beast` number, since 3 + 222 + 121 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3222121293 and 3222121302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135525 + ... + 157515.

It is an arithmetic number, because the mean of its divisors is an integer number (61110270).

Almost surely, 2^3222121320 is an apocalyptic number.

3222121320 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 3222121320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5866585920).

3222121320 is an abundant number, since it is smaller than the sum of its proper divisors (8511050520).

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

3222121320 is a wasteful number, since it uses less digits than its factorization.

3222121320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22056 (or 22049 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3222121320 is about 56763.7324354204. The cubic root of 3222121320 is about 1477.0004564076. Note that the first 3 decimals are identical.

Adding to 3222121320 its reverse (231212223), we get a palindrome (3453333543).

The spelling of 3222121320 in words is "three billion, two hundred twenty-two million, one hundred twenty-one thousand, three hundred twenty".