122120120314191 has 16 divisors (see below), whose sum is σ = 162848594012000. Its totient is φ = 81402530715648.

The previous prime is 122120120314183. The next prime is 122120120314259. The reversal of 122120120314191 is 191413021021221.

It is not a de Polignac number, because 122120120314191 - 2³ = 122120120314183 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122120120314111) 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 15 ways as a sum of consecutive naturals, for example, 1065107835 + ... + 1065222483.

It is an arithmetic number, because the mean of its divisors is an integer number (10178037125750).

Almost surely, 2^{122120120314191} is an apocalyptic number.

122120120314191 is a deficient number, since it is larger than the sum of its proper divisors (40728473697809).

122120120314191 is a wasteful number, since it uses less digits than its factorization.

122120120314191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159018.

The product of its (nonzero) digits is 1728, while the sum is 30.

The spelling of 122120120314191 in words is "one hundred twenty-two trillion, one hundred twenty billion, one hundred twenty million, three hundred fourteen thousand, one hundred ninety-one".