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122012211022109 is a prime number
BaseRepresentation
bin11011101111100000101110…
…011111110000100100011101
3121000000020211202211002011122
4123233200232133300210131
5111443022002010201414
61111255345210300325
734462043221520612
oct3357405637604435
9530006752732148
10122012211022109
11359710a72a7701
121182694a7276a5
13531091876b9c5
14221b5cb58c509
15e18c3e688b8e
hex6ef82e7f091d

122012211022109 has 2 divisors, whose sum is σ = 122012211022110. Its totient is φ = 122012211022108.

The previous prime is 122012211022103. The next prime is 122012211022111. The reversal of 122012211022109 is 901220112210221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91259751682009 + 30752459340100 = 9552997^2 + 5545490^2 .

It is a cyclic number.

It is not a de Polignac number, because 122012211022109 - 212 = 122012211018013 is a prime.

Together with 122012211022111, 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 (122012211022103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61006105511054 + 61006105511055.

It is an arithmetic number, because the mean of its divisors is an integer number (61006105511055).

Almost surely, 2122012211022109 is an apocalyptic number.

It is an amenable number.

122012211022109 is a deficient number, since it is larger than the sum of its proper divisors (1).

122012211022109 is an equidigital number, since it uses as much as digits as its factorization.

122012211022109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 26.

The spelling of 122012211022109 in words is "one hundred twenty-two trillion, twelve billion, two hundred eleven million, twenty-two thousand, one hundred nine".