230011200000000 has 702 divisors, whose sum is σ = 830546177299202. Its totient is φ = 61332480000000.

The previous prime is 230011199999953. The next prime is 230011200000007. The reversal of 230011200000000 is 2110032.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 104357502664704 + 125653697335296 = 10215552^2 + 11209536^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230011200000007) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 14399992014 + ... + 14400007986.

Almost surely, 2^{230011200000000} is an apocalyptic number.

230011200000000 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 230011200000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415273088649601).

230011200000000 is an abundant number, since it is smaller than the sum of its proper divisors (600534977299202).

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

230011200000000 is an frugal number, since it uses more digits than its factorization.

230011200000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16043 (or 15983 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 230011200000000 its reverse (2110032), we get a palindrome (230011202110032).

The spelling of 230011200000000 in words is "two hundred thirty trillion, eleven billion, two hundred million", and thus it is an aban number.