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122013122197 is a prime number
BaseRepresentation
bin111000110100010001…
…1000111111010010101
3102122221022012210222211
41301220203013322111
53444340324402242
6132015124353421
711546412266221
oct1615043077225
9378838183884
10122013122197
114782225467a
121b791b45871
13b6762a7435
145c96859781
153291aab317
hex1c688c7e95

122013122197 has 2 divisors, whose sum is σ = 122013122198. Its totient is φ = 122013122196.

The previous prime is 122013122051. The next prime is 122013122227. The reversal of 122013122197 is 791221310221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 117957215601 + 4055906596 = 343449^2 + 63686^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122013122197 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122013125197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61006561098 + 61006561099.

It is an arithmetic number, because the mean of its divisors is an integer number (61006561099).

Almost surely, 2122013122197 is an apocalyptic number.

It is an amenable number.

122013122197 is a deficient number, since it is larger than the sum of its proper divisors (1).

122013122197 is an equidigital number, since it uses as much as digits as its factorization.

122013122197 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 31.

The spelling of 122013122197 in words is "one hundred twenty-two billion, thirteen million, one hundred twenty-two thousand, one hundred ninety-seven".