230120112033 has 144 divisors (see below), whose sum is σ = 410881358160. Its totient is φ = 123553382400.

The previous prime is 230120112011. The next prime is 230120112073. The reversal of 230120112033 is 330211021032.

It can be written as a sum of positive squares in 8 ways, for example, as 5143824 + 230114968209 = 2268^2 + 479703^2 .

It is not a de Polignac number, because 230120112033 - 2⁹ = 230120111521 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 230120111997 and 230120112015.

It is not an unprimeable number, because it can be changed into a prime (230120112073) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 75670993 + ... + 75674033.

It is an arithmetic number, because the mean of its divisors is an integer number (2853342765).

Almost surely, 2^230120112033 is an apocalyptic number.

It is an amenable number.

230120112033 is a deficient number, since it is larger than the sum of its proper divisors (180761246127).

230120112033 is a wasteful number, since it uses less digits than its factorization.

230120112033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3248 (or 3238 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 230120112033 its reverse (330211021032), we get a palindrome (560331133065).

The spelling of 230120112033 in words is "two hundred thirty billion, one hundred twenty million, one hundred twelve thousand, thirty-three".