122161126347 has 128 divisors (see below), whose sum is σ = 205244928000. Its totient is φ = 71310274560.

The previous prime is 122161126333. The next prime is 122161126349. The reversal of 122161126347 is 743621161221.

122161126347 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 6 + 1 + 12 + 634 + 7 = 666.

It is not a de Polignac number, because 122161126347 - 2²⁰ = 122160077771 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122161126349) 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 127 ways as a sum of consecutive naturals, for example, 121070979 + ... + 121071987.

It is an arithmetic number, because the mean of its divisors is an integer number (1603476000).

Almost surely, 2^122161126347 is an apocalyptic number.

122161126347 is a deficient number, since it is larger than the sum of its proper divisors (83083801653).

122161126347 is a wasteful number, since it uses less digits than its factorization.

122161126347 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 1292 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

Adding to 122161126347 its reverse (743621161221), we get a palindrome (865782287568).

The spelling of 122161126347 in words is "one hundred twenty-two billion, one hundred sixty-one million, one hundred twenty-six thousand, three hundred forty-seven".