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122312112112217 is a prime number
BaseRepresentation
bin11011110011111000000001…
…111111101000001001011001
3121001001220221101121222001102
4123303320001333220021121
5112012430201200042332
61112045224131401145
734522521105651236
oct3363700177501131
9531056841558042
10122312112112217
1135a77303687495
1211874aa6a531b5
135332ca0c49041
14222bd1b50478d
15e2194330b062
hex6f3e01fe8259

122312112112217 has 2 divisors, whose sum is σ = 122312112112218. Its totient is φ = 122312112112216.

The previous prime is 122312112112213. The next prime is 122312112112259. The reversal of 122312112112217 is 712211211213221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92626842512656 + 29685269599561 = 9624284^2 + 5448419^2 .

It is a cyclic number.

It is not a de Polignac number, because 122312112112217 - 22 = 122312112112213 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122312112112217.

It is not a weakly prime, because it can be changed into another prime (122312112112213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61156056056108 + 61156056056109.

It is an arithmetic number, because the mean of its divisors is an integer number (61156056056109).

Almost surely, 2122312112112217 is an apocalyptic number.

It is an amenable number.

122312112112217 is a deficient number, since it is larger than the sum of its proper divisors (1).

122312112112217 is an equidigital number, since it uses as much as digits as its factorization.

122312112112217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1344, while the sum is 29.

Adding to 122312112112217 its reverse (712211211213221), we get a palindrome (834523323325438).

The spelling of 122312112112217 in words is "one hundred twenty-two trillion, three hundred twelve billion, one hundred twelve million, one hundred twelve thousand, two hundred seventeen".