120122033023233 has 24 divisors (see below), whose sum is σ = 173542899734568. Its totient is φ = 80065989222912.

The previous prime is 120122033023219. The next prime is 120122033023261. The reversal of 120122033023233 is 332320330221021.

120122033023233 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 2 + 2 + 0 + 330 + 2 + 323 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28009201386384 + 92112831636849 = 5292372^2 + 9597543^2 .

It is not a de Polignac number, because 120122033023233 - 2¹² = 120122033019137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120122033023197 and 120122033023206.

It is not an unprimeable number, because it can be changed into a prime (120122033023933) 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 23 ways as a sum of consecutive naturals, for example, 1216536441 + ... + 1216635177.

It is an arithmetic number, because the mean of its divisors is an integer number (7230954155607).

Almost surely, 2^{120122033023233} is an apocalyptic number.

It is an amenable number.

120122033023233 is a deficient number, since it is larger than the sum of its proper divisors (53420866711335).

120122033023233 is a wasteful number, since it uses less digits than its factorization.

120122033023233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123313 (or 123310 counting only the distinct ones).

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

Adding to 120122033023233 its reverse (332320330221021), we get a palindrome (452442363244254).

The spelling of 120122033023233 in words is "one hundred twenty trillion, one hundred twenty-two billion, thirty-three million, twenty-three thousand, two hundred thirty-three".