1324312000 has 224 divisors, whose sum is σ = 3637483200. Its totient is φ = 473600000.

The previous prime is 1324311991. The next prime is 1324312001. The reversal of 1324312000 is 2134231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1324312001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8887926 + ... + 8888074.

Almost surely, 2^1324312000 is an apocalyptic number.

1324312000 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 1324312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1818741600).

1324312000 is an abundant number, since it is smaller than the sum of its proper divisors (2313171200).

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

1324312000 is a wasteful number, since it uses less digits than its factorization.

1324312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1324312000 is about 36391.0978125145. The cubic root of 1324312000 is about 1098.1544811804.

Adding to 1324312000 its reverse (2134231), we get a palindrome (1326446231).

It can be divided in two parts, 132431 and 2000, that added together give a palindrome (134431).

The spelling of 1324312000 in words is "one billion, three hundred twenty-four million, three hundred twelve thousand".