1320331200 has 168 divisors, whose sum is σ = 4438101360. Its totient is φ = 343449600.

The previous prime is 1320331189. The next prime is 1320331237. The reversal of 1320331200 is 21330231.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1320331200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193446 + ... + 200154.

It is an arithmetic number, because the mean of its divisors is an integer number (26417270).

Almost surely, 2^1320331200 is an apocalyptic number.

1320331200 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 1320331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2219050680).

1320331200 is an abundant number, since it is smaller than the sum of its proper divisors (3117770160).

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

1320331200 is a wasteful number, since it uses less digits than its factorization.

1320331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6775 (or 6760 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 1320331200 is about 36336.3619532831. The cubic root of 1320331200 is about 1097.0530486694.

Adding to 1320331200 its reverse (21330231), we get a palindrome (1341661431).

It can be divided in two parts, 1320 and 331200, that added together give a triangular number (332520 = T₈₁₅).

The spelling of 1320331200 in words is "one billion, three hundred twenty million, three hundred thirty-one thousand, two hundred".