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122111112317 is a prime number
BaseRepresentation
bin111000110111001100…
…0111011010001111101
3102200012010121020011112
41301232120323101331
54000040421043232
6132032544531405
711552012220545
oct1615630732175
9380163536145
10122111112317
11478725a3047
121b7ba920b65
13b69069615c
145ca5886325
15329a4b54b2
hex1c6e63b47d

122111112317 has 2 divisors, whose sum is σ = 122111112318. Its totient is φ = 122111112316.

The previous prime is 122111112311. The next prime is 122111112323. The reversal of 122111112317 is 713211111221.

It is a balanced prime because it is at equal distance from previous prime (122111112311) and next prime (122111112323).

It can be written as a sum of positive squares in only one way, i.e., 84324028996 + 37787083321 = 290386^2 + 194389^2 .

It is a cyclic number.

It is not a de Polignac number, because 122111112317 - 222 = 122106918013 is a prime.

It is a super-2 number, since 2×1221111123172 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122111112292 and 122111112301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122111112311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61055556158 + 61055556159.

It is an arithmetic number, because the mean of its divisors is an integer number (61055556159).

Almost surely, 2122111112317 is an apocalyptic number.

It is an amenable number.

122111112317 is a deficient number, since it is larger than the sum of its proper divisors (1).

122111112317 is an equidigital number, since it uses as much as digits as its factorization.

122111112317 is an evil number, because the sum of its binary digits is even.

The product of its digits is 168, while the sum is 23.

Adding to 122111112317 its reverse (713211111221), we get a palindrome (835322223538).

The spelling of 122111112317 in words is "one hundred twenty-two billion, one hundred eleven million, one hundred twelve thousand, three hundred seventeen".