1323312000 has 256 divisors, whose sum is σ = 4620844800. Its totient is φ = 334080000.

The previous prime is 1323311989. The next prime is 1323312007. The reversal of 1323312000 is 2133231.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1323312007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 911275 + ... + 912725.

It is an arithmetic number, because the mean of its divisors is an integer number (18050175).

Almost surely, 2^1323312000 is an apocalyptic number.

1323312000 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 1323312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2310422400).

1323312000 is an abundant number, since it is smaller than the sum of its proper divisors (3297532800).

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

1323312000 is a wasteful number, since it uses less digits than its factorization.

1323312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 1480 counting only the distinct ones).

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

The square root of 1323312000 is about 36377.3555938306. The cubic root of 1323312000 is about 1097.8780027760.

Adding to 1323312000 its reverse (2133231), we get a palindrome (1325445231).

The spelling of 1323312000 in words is "one billion, three hundred twenty-three million, three hundred twelve thousand".