1323321120 has 288 divisors, whose sum is σ = 5186825280. Its totient is φ = 303851520.

The previous prime is 1323321107. The next prime is 1323321133. The reversal of 1323321120 is 211233231.

1323321120 is a `hidden beast` number, since 1 + 323 + 321 + 1 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (1323321107) and next prime (1323321133).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×1323321120³ (a number of 28 digits) contains 333 as substring.

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 = 1323321093 and 1323321102.

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, 298762 + ... + 303158.

It is an arithmetic number, because the mean of its divisors is an integer number (18009810).

Almost surely, 2^1323321120 is an apocalyptic number.

1323321120 is a gapful number since it is divisible by the number (10) 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 1323321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2593412640).

1323321120 is an abundant number, since it is smaller than the sum of its proper divisors (3863504160).

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

1323321120 is a wasteful number, since it uses less digits than its factorization.

1323321120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4448 (or 4437 counting only the distinct ones).

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

The square root of 1323321120 is about 36377.4809463217. The cubic root of 1323321120 is about 1097.8805248883.

Adding to 1323321120 its reverse (211233231), we get a palindrome (1534554351).

It can be divided in two parts, 13233211 and 20, that added together give a palindrome (13233231).

The spelling of 1323321120 in words is "one billion, three hundred twenty-three million, three hundred twenty-one thousand, one hundred twenty".