122104142433 has 144 divisors (see below), whose sum is σ = 223406426880. Its totient is φ = 62574405120.

The previous prime is 122104142399. The next prime is 122104142443. The reversal of 122104142433 is 334241401221.

122104142433 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 0 + 414 + 243 + 3 = 666.

It is not a de Polignac number, because 122104142433 - 2⁸ = 122104142177 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122104142397 and 122104142406.

It is not an unprimeable number, because it can be changed into a prime (122104142443) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 313892203 + ... + 313892591.

It is an arithmetic number, because the mean of its divisors is an integer number (1551433520).

Almost surely, 2^122104142433 is an apocalyptic number.

122104142433 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122104142433 is a deficient number, since it is larger than the sum of its proper divisors (101302284447).

122104142433 is a wasteful number, since it uses less digits than its factorization.

122104142433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 122104142433 its reverse (334241401221), we get a palindrome (456345543654).

The spelling of 122104142433 in words is "one hundred twenty-two billion, one hundred four million, one hundred forty-two thousand, four hundred thirty-three".