122334123133341 has 48 divisors (see below), whose sum is σ = 210956635553664. Its totient is φ = 69394956056064.

The previous prime is 122334123133241. The next prime is 122334123133363. The reversal of 122334123133341 is 143331321433221.

122334123133341 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 3 + 4 + 1 + 2 + 313 + 334 + 1 = 666.

It is not a de Polignac number, because 122334123133341 - 2¹¹ = 122334123131293 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122334123133296 and 122334123133305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122334123133241) 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 in 47 ways as a sum of consecutive naturals, for example, 262244860 + ... + 262710933.

It is an arithmetic number, because the mean of its divisors is an integer number (4394929907368).

Almost surely, 2^{122334123133341} is an apocalyptic number.

It is an amenable number.

122334123133341 is a deficient number, since it is larger than the sum of its proper divisors (88622512420323).

122334123133341 is an equidigital number, since it uses as much as digits as its factorization.

122334123133341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524955952 (or 524955940 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

Adding to 122334123133341 its reverse (143331321433221), we get a palindrome (265665444566562).

The spelling of 122334123133341 in words is "one hundred twenty-two trillion, three hundred thirty-four billion, one hundred twenty-three million, one hundred thirty-three thousand, three hundred forty-one".