3222120420 has 144 divisors (see below), whose sum is σ = 9932897520. Its totient is φ = 845365248.

The previous prime is 3222120397. The next prime is 3222120431. The reversal of 3222120420 is 240212223.

3222120420 is a `hidden beast` number, since 3 + 2 + 221 + 20 + 420 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1035809856 + 2186310564 = 32184^2 + 46758^2 .

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 = 3222120393 and 3222120402.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3192876 + ... + 3193884.

It is an arithmetic number, because the mean of its divisors is an integer number (68978455).

Almost surely, 2^3222120420 is an apocalyptic number.

3222120420 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 3222120420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4966448760).

3222120420 is an abundant number, since it is smaller than the sum of its proper divisors (6710777100).

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

3222120420 is a wasteful number, since it uses less digits than its factorization.

3222120420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 3222120420 is about 56763.7245078228. The cubic root of 3222120420 is about 1477.0003188894. Note that the first 3 decimals are identical.

Adding to 3222120420 its reverse (240212223), we get a palindrome (3462332643).

The spelling of 3222120420 in words is "three billion, two hundred twenty-two million, one hundred twenty thousand, four hundred twenty".