122123121233 has 8 divisors (see below), whose sum is σ = 125144165160. Its totient is φ = 119104097920.

The previous prime is 122123121227. The next prime is 122123121247. The reversal of 122123121233 is 332121321221.

It can be written as a sum of positive squares in 4 ways, for example, as 12063068224 + 110060053009 = 109832^2 + 331753^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122123121233 - 2⁴ = 122123121217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122123121199 and 122123121208.

It is not an unprimeable number, because it can be changed into a prime (122123121223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 382418 + ... + 624891.

It is an arithmetic number, because the mean of its divisors is an integer number (15643020645).

Almost surely, 2^122123121233 is an apocalyptic number.

It is an amenable number.

122123121233 is a deficient number, since it is larger than the sum of its proper divisors (3021043927).

122123121233 is a wasteful number, since it uses less digits than its factorization.

122123121233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010307.

The product of its digits is 864, while the sum is 23.

Adding to 122123121233 its reverse (332121321221), we get a palindrome (454244442454).

The spelling of 122123121233 in words is "one hundred twenty-two billion, one hundred twenty-three million, one hundred twenty-one thousand, two hundred thirty-three".