230302331322120 has 192 divisors, whose sum is σ = 754757670654000. Its totient is φ = 60900040802304.

The previous prime is 230302331322103. The next prime is 230302331322157. The reversal of 230302331322120 is 21223133203032.

230302331322120 is a `hidden beast` number, since 2 + 3 + 0 + 3 + 0 + 2 + 331 + 322 + 1 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8808822177156 + 221493509144964 = 2967966^2 + 14882658^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43305066 + ... + 48331494.

Almost surely, 2^{230302331322120} is an apocalyptic number.

230302331322120 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 230302331322120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377378835327000).

230302331322120 is an abundant number, since it is smaller than the sum of its proper divisors (524455339331880).

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

230302331322120 is a wasteful number, since it uses less digits than its factorization.

230302331322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5027512 (or 5027505 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 230302331322120 its reverse (21223133203032), we get a palindrome (251525464525152).

The spelling of 230302331322120 in words is "two hundred thirty trillion, three hundred two billion, three hundred thirty-one million, three hundred twenty-two thousand, one hundred twenty".