3222120 has 64 divisors (see below), whose sum is σ = 10549440. Its totient is φ = 780800.

The previous prime is 3222113. The next prime is 3222137. The reversal of 3222120 is 212223.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 3222096 and 3222105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100 + ... + 2540.

It is an arithmetic number, because the mean of its divisors is an integer number (164835).

Almost surely, 2^3222120 is an apocalyptic number.

3222120 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 3222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5274720).

3222120 is an abundant number, since it is smaller than the sum of its proper divisors (7327320).

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

3222120 is a wasteful number, since it uses less digits than its factorization.

3222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2466 (or 2462 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 3222120 is about 1795.0264622005. The cubic root of 3222120 is about 147.7000254714.

Adding to 3222120 its reverse (212223), we get a palindrome (3434343).

It can be divided in two parts, 322 and 2120, that added together give a palindrome (2442).

The spelling of 3222120 in words is "three million, two hundred twenty-two thousand, one hundred twenty".