230031000012000 has 768 divisors, whose sum is σ = 840417929035776. Its totient is φ = 54524145920000.

The previous prime is 230031000011921. The next prime is 230031000012001. The reversal of 230031000012000 is 210000130032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230031000012001) 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 127 ways as a sum of consecutive naturals, for example, 6396306019 + ... + 6396341981.

It is an arithmetic number, because the mean of its divisors is an integer number (1094294178432).

Almost surely, 2^{230031000012000} is an apocalyptic number.

230031000012000 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 230031000012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420208964517888).

230031000012000 is an abundant number, since it is smaller than the sum of its proper divisors (610386929023776).

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

230031000012000 is a wasteful number, since it uses less digits than its factorization.

230031000012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37080 (or 37062 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 230031000012000 its reverse (210000130032), we get a palindrome (230241000142032).

The spelling of 230031000012000 in words is "two hundred thirty trillion, thirty-one billion, twelve thousand".