120210012000233 has 2 divisors, whose sum is σ = 120210012000234. Its totient is φ = 120210012000232.

The previous prime is 120210012000191. The next prime is 120210012000311. The reversal of 120210012000233 is 332000210012021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97384292249104 + 22825719751129 = 9868348^2 + 4777627^2 .

It is a cyclic number.

It is not a de Polignac number, because 120210012000233 - 2¹⁶ = 120210011934697 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (120210012300233) 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, 60105006000116 + 60105006000117.

It is an arithmetic number, because the mean of its divisors is an integer number (60105006000117).

Almost surely, 2^{120210012000233} is an apocalyptic number.

It is an amenable number.

120210012000233 is a deficient number, since it is larger than the sum of its proper divisors (1).

120210012000233 is an equidigital number, since it uses as much as digits as its factorization.

120210012000233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 120210012000233 its reverse (332000210012021), we get a palindrome (452210222012254).

The spelling of 120210012000233 in words is "one hundred twenty trillion, two hundred ten billion, twelve million, two hundred thirty-three", and thus it is an aban number.