230300111120 has 320 divisors, whose sum is σ = 610868044800. Its totient is φ = 80223436800.

The previous prime is 230300111087. The next prime is 230300111123. The reversal of 230300111120 is 21111003032.

230300111120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 230300111095 and 230300111104.

It is not an unprimeable number, because it can be changed into a prime (230300111123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 206176802 + ... + 206177918.

It is an arithmetic number, because the mean of its divisors is an integer number (1908962640).

Almost surely, 2^230300111120 is an apocalyptic number.

230300111120 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 230300111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305434022400).

230300111120 is an abundant number, since it is smaller than the sum of its proper divisors (380567933680).

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

230300111120 is a wasteful number, since it uses less digits than its factorization.

230300111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 230300111120 its reverse (21111003032), we get a palindrome (251411114152).

The spelling of 230300111120 in words is "two hundred thirty billion, three hundred million, one hundred eleven thousand, one hundred twenty".