122123023120233 has 8 divisors (see below), whose sum is σ = 180922997215200. Its totient is φ = 81415348746804.

The previous prime is 122123023120213. The next prime is 122123023120247. The reversal of 122123023120233 is 332021320321221.

122123023120233 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 2 + 302 + 3 + 120 + 233 = 666.

It is not a de Polignac number, because 122123023120233 - 2⁵ = 122123023120201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 4523074930379 = 122123023120233 / (1 + 2 + 2 + 1 + 2 + 3 + 0 + 2 + 3 + 1 + 2 + 0 + 2 + 3 + 3).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122123023120197 and 122123023120206.

It is not an unprimeable number, because it can be changed into a prime (122123023120213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2261537465163 + ... + 2261537465216.

It is an arithmetic number, because the mean of its divisors is an integer number (22615374651900).

Almost surely, 2^{122123023120233} is an apocalyptic number.

It is an amenable number.

122123023120233 is a deficient number, since it is larger than the sum of its proper divisors (58799974094967).

122123023120233 is an equidigital number, since it uses as much as digits as its factorization.

122123023120233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4523074930388 (or 4523074930382 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 122123023120233 its reverse (332021320321221), we get a palindrome (454144343441454).

The spelling of 122123023120233 in words is "one hundred twenty-two trillion, one hundred twenty-three billion, twenty-three million, one hundred twenty thousand, two hundred thirty-three".