122311211301 has 16 divisors (see below), whose sum is σ = 181310430400. Its totient is φ = 81491921424.

The previous prime is 122311211291. The next prime is 122311211311. The reversal of 122311211301 is 103112113221.

122311211301 is a `hidden beast` number, since 12 + 231 + 121 + 1 + 301 = 666.

It is an interprime number because it is at equal distance from previous prime (122311211291) and next prime (122311211311).

It is not a de Polignac number, because 122311211301 - 2²³ = 122302822693 is a prime.

It is a super-2 number, since 2×122311211301² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122311211311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1312051 + ... + 1402176.

It is an arithmetic number, because the mean of its divisors is an integer number (11331901900).

Almost surely, 2^122311211301 is an apocalyptic number.

It is an amenable number.

122311211301 is a deficient number, since it is larger than the sum of its proper divisors (58999219099).

122311211301 is a wasteful number, since it uses less digits than its factorization.

122311211301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2715905 (or 2715899 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 122311211301 its reverse (103112113221), we get a palindrome (225423324522).

The spelling of 122311211301 in words is "one hundred twenty-two billion, three hundred eleven million, two hundred eleven thousand, three hundred one".