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122132312117 is a prime number
BaseRepresentation
bin111000110111110100…
…1110011000000110101
3102200020121111021211022
41301233221303000311
54000111332441432
6132035023150525
711552360344544
oct1615751630065
9380217437738
10122132312117
1147883562842
121b805a45445
13b694ba970a
145ca860415b
15329c2a1b12
hex1c6fa73035

122132312117 has 2 divisors, whose sum is σ = 122132312118. Its totient is φ = 122132312116.

The previous prime is 122132312087. The next prime is 122132312119. The reversal of 122132312117 is 711213231221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95135850481 + 26996461636 = 308441^2 + 164306^2 .

It is an emirp because it is prime and its reverse (711213231221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122132312117 - 224 = 122115534901 is a prime.

Together with 122132312119, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122132312119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61066156058 + 61066156059.

It is an arithmetic number, because the mean of its divisors is an integer number (61066156059).

Almost surely, 2122132312117 is an apocalyptic number.

It is an amenable number.

122132312117 is a deficient number, since it is larger than the sum of its proper divisors (1).

122132312117 is an equidigital number, since it uses as much as digits as its factorization.

122132312117 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1008, while the sum is 26.

Adding to 122132312117 its reverse (711213231221), we get a palindrome (833345543338).

The spelling of 122132312117 in words is "one hundred twenty-two billion, one hundred thirty-two million, three hundred twelve thousand, one hundred seventeen".