322224120 has 192 divisors, whose sum is σ = 1139598720. Its totient is φ = 78630912.

The previous prime is 322224109. The next prime is 322224127. The reversal of 322224120 is 21422223.

322224120 is a `hidden beast` number, since 32 + 222 + 412 + 0 = 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 = 322224093 and 322224102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (322224127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 225729 + ... + 227151.

It is an arithmetic number, because the mean of its divisors is an integer number (5935410).

Almost surely, 2^322224120 is an apocalyptic number.

322224120 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 322224120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569799360).

322224120 is an abundant number, since it is smaller than the sum of its proper divisors (817374600).

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

322224120 is a wasteful number, since it uses less digits than its factorization.

322224120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1487 counting only the distinct ones).

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

The square root of 322224120 is about 17950.6022183101. The cubic root of 322224120 is about 685.5713846564.

Adding to 322224120 its reverse (21422223), we get a palindrome (343646343).

The spelling of 322224120 in words is "three hundred twenty-two million, two hundred twenty-four thousand, one hundred twenty".