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122112011420317 is a prime number
BaseRepresentation
bin11011110000111101101011…
…000100000100001010011101
3121000100210110000212121020101
4123300331223010010022131
5112001140344410422232
61111413252243221101
734502205323100652
oct3360755304041235
9530323400777211
10122112011420317
11359aa45aaa1a46
1211842161677791
13531a161b03479
142222377cd1c29
15e1b6310e71e7
hex6f0f6b10429d

122112011420317 has 2 divisors, whose sum is σ = 122112011420318. Its totient is φ = 122112011420316.

The previous prime is 122112011420309. The next prime is 122112011420407. The reversal of 122112011420317 is 713024110211221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 121437336459321 + 674674960996 = 11019861^2 + 821386^2 .

It is a cyclic number.

It is not a de Polignac number, because 122112011420317 - 23 = 122112011420309 is a prime.

It is a super-2 number, since 2×1221120114203172 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122112011420417) 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 as a sum of consecutive naturals, namely, 61056005710158 + 61056005710159.

It is an arithmetic number, because the mean of its divisors is an integer number (61056005710159).

Almost surely, 2122112011420317 is an apocalyptic number.

It is an amenable number.

122112011420317 is a deficient number, since it is larger than the sum of its proper divisors (1).

122112011420317 is an equidigital number, since it uses as much as digits as its factorization.

122112011420317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 28.

Adding to 122112011420317 its reverse (713024110211221), we get a palindrome (835136121631538).

The spelling of 122112011420317 in words is "one hundred twenty-two trillion, one hundred twelve billion, eleven million, four hundred twenty thousand, three hundred seventeen".