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122121112111069 is a prime number
BaseRepresentation
bin11011110001000110001001…
…100000011100011111011101
3121000101122221021102120222211
4123301012021200130133131
5112001313014200023234
61111421355302440421
734502650000512031
oct3361061140343735
9530348837376884
10122121112111069
1135a03300106675
1211843a81433111
13531ac823a9796
14222299c8381c1
15e1b9b5063164
hex6f118981c7dd

122121112111069 has 2 divisors, whose sum is σ = 122121112111070. Its totient is φ = 122121112111068.

The previous prime is 122121112111067. The next prime is 122121112111121. The reversal of 122121112111069 is 960111211121221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83986905526969 + 38134206584100 = 9164437^2 + 6175290^2 .

It is a cyclic number.

It is not a de Polignac number, because 122121112111069 - 21 = 122121112111067 is a prime.

It is a super-3 number, since 3×1221211121110693 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 122121112111067, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 122121112111069.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122121112111067) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61060556055534 + 61060556055535.

It is an arithmetic number, because the mean of its divisors is an integer number (61060556055535).

Almost surely, 2122121112111069 is an apocalyptic number.

It is an amenable number.

122121112111069 is a deficient number, since it is larger than the sum of its proper divisors (1).

122121112111069 is an equidigital number, since it uses as much as digits as its factorization.

122121112111069 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 31.

The spelling of 122121112111069 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, one hundred twelve million, one hundred eleven thousand, sixty-nine".