230312220233120 has 192 divisors, whose sum is σ = 561883965350400. Its totient is φ = 89165016932352.

The previous prime is 230312220233093. The next prime is 230312220233129. The reversal of 230312220233120 is 21332022213032.

230312220233120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 230312220233120.

It is not an unprimeable number, because it can be changed into a prime (230312220233129) 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, 253896212 + ... + 254801708.

It is an arithmetic number, because the mean of its divisors is an integer number (2926478986200).

Almost surely, 2^{230312220233120} is an apocalyptic number.

230312220233120 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 230312220233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280941982675200).

230312220233120 is an abundant number, since it is smaller than the sum of its proper divisors (331571745117280).

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

230312220233120 is a wasteful number, since it uses less digits than its factorization.

230312220233120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905935 (or 905927 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 230312220233120 its reverse (21332022213032), we get a palindrome (251644242446152).

The spelling of 230312220233120 in words is "two hundred thirty trillion, three hundred twelve billion, two hundred twenty million, two hundred thirty-three thousand, one hundred twenty".