230301120 has 224 divisors, whose sum is σ = 856171008. Its totient is φ = 51351552.

The previous prime is 230301089. The next prime is 230301121. The reversal of 230301120 is 21103032.

It is a happy number.

230301120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a junction number, because it is equal to n+sod(n) for n = 230301096 and 230301105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230301121) 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, 288562 + ... + 289358.

It is an arithmetic number, because the mean of its divisors is an integer number (3822192).

Almost surely, 2^230301120 is an apocalyptic number.

230301120 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 230301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428085504).

230301120 is an abundant number, since it is smaller than the sum of its proper divisors (625869888).

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

230301120 is a wasteful number, since it uses less digits than its factorization.

230301120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 857 counting only the distinct ones).

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

The square root of 230301120 is about 15175.6752732786. The cubic root of 230301120 is about 612.9598335086.

Adding to 230301120 its reverse (21103032), we get a palindrome (251404152).

The spelling of 230301120 in words is "two hundred thirty million, three hundred one thousand, one hundred twenty".