120300022331233 has 2 divisors, whose sum is σ = 120300022331234. Its totient is φ = 120300022331232.

The previous prime is 120300022331191. The next prime is 120300022331257. The reversal of 120300022331233 is 332133220003021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79448200410384 + 40851821920849 = 8913372^2 + 6391543^2 .

It is a cyclic number.

It is not a de Polignac number, because 120300022331233 - 2¹⁷ = 120300022200161 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120300022331198 and 120300022331207.

It is not a weakly prime, because it can be changed into another prime (120300022331273) by changing a digit.

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 as a sum of consecutive naturals, namely, 60150011165616 + 60150011165617.

It is an arithmetic number, because the mean of its divisors is an integer number (60150011165617).

Almost surely, 2^{120300022331233} is an apocalyptic number.

It is an amenable number.

120300022331233 is a deficient number, since it is larger than the sum of its proper divisors (1).

120300022331233 is an equidigital number, since it uses as much as digits as its factorization.

120300022331233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 120300022331233 its reverse (332133220003021), we get a palindrome (452433242334254).

The spelling of 120300022331233 in words is "one hundred twenty trillion, three hundred billion, twenty-two million, three hundred thirty-one thousand, two hundred thirty-three".