10312324000 has 192 divisors, whose sum is σ = 28038576384. Its totient is φ = 3696000000.

The previous prime is 10312323979. The next prime is 10312324007. The reversal of 10312324000 is 42321301.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (10312324007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3122350 + ... + 3125650.

It is an arithmetic number, because the mean of its divisors is an integer number (146034252).

Almost surely, 2^10312324000 is an apocalyptic number.

10312324000 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 10312324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14019288192).

10312324000 is an abundant number, since it is smaller than the sum of its proper divisors (17726252384).

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

10312324000 is a wasteful number, since it uses less digits than its factorization.

10312324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3408 (or 3390 counting only the distinct ones).

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

Adding to 10312324000 its reverse (42321301), we get a palindrome (10354645301).

The spelling of 10312324000 in words is "ten billion, three hundred twelve million, three hundred twenty-four thousand".