1323115200 has 252 divisors, whose sum is σ = 5130792888. Its totient is φ = 320716800.

The previous prime is 1323115159. The next prime is 1323115229. The reversal of 1323115200 is 25113231.

1323115200 is a `hidden beast` number, since 132 + 3 + 11 + 520 + 0 = 666.

1323115200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 154224 + ... + 162576.

Almost surely, 2^1323115200 is an apocalyptic number.

1323115200 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 1323115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2565396444).

1323115200 is an abundant number, since it is smaller than the sum of its proper divisors (3807677688).

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

1323115200 is a wasteful number, since it uses less digits than its factorization.

1323115200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8392 (or 8374 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1323115200 is about 36374.6505137850. The cubic root of 1323115200 is about 1097.8235754243.

Adding to 1323115200 its reverse (25113231), we get a palindrome (1348228431).

The spelling of 1323115200 in words is "one billion, three hundred twenty-three million, one hundred fifteen thousand, two hundred".