122331133441 has 16 divisors (see below), whose sum is σ = 134809685568. Its totient is φ = 110079432000.

The previous prime is 122331133409. The next prime is 122331133453. The reversal of 122331133441 is 144331133221.

It is a cyclic number.

It is not a de Polignac number, because 122331133441 - 2⁵ = 122331133409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122331173441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4834675 + ... + 4859911.

It is an arithmetic number, because the mean of its divisors is an integer number (8425605348).

Almost surely, 2^122331133441 is an apocalyptic number.

122331133441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122331133441 is a deficient number, since it is larger than the sum of its proper divisors (12478552127).

122331133441 is a wasteful number, since it uses less digits than its factorization.

122331133441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29712.

The product of its digits is 5184, while the sum is 28.

Adding to 122331133441 its reverse (144331133221), we get a palindrome (266662266662).

The spelling of 122331133441 in words is "one hundred twenty-two billion, three hundred thirty-one million, one hundred thirty-three thousand, four hundred forty-one".