230322313200000 has 768 divisors, whose sum is σ = 875837322823680. Its totient is φ = 52530508800000.

The previous prime is 230322313199989. The next prime is 230322313200029. The reversal of 230322313200000 is 2313223032.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 230322313200000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3889170390 + ... + 3889229610.

It is an arithmetic number, because the mean of its divisors is an integer number (1140413180760).

Almost surely, 2^{230322313200000} is an apocalyptic number.

230322313200000 is a gapful number since it is divisible by the number (20) 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 230322313200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437918661411840).

230322313200000 is an abundant number, since it is smaller than the sum of its proper divisors (645515009623680).

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

230322313200000 is an frugal number, since it uses more digits than its factorization.

230322313200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59733 (or 59701 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 230322313200000 its reverse (2313223032), we get a palindrome (230324626423032).

The spelling of 230322313200000 in words is "two hundred thirty trillion, three hundred twenty-two billion, three hundred thirteen million, two hundred thousand".