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122211221220097 is a prime number
BaseRepresentation
bin11011110010011010000100…
…011011011010101100000001
3121000201021112010121121120021
4123302122010123122230001
5112004302040113020342
61111531020541413441
734512316663346512
oct3362320433325401
9530637463547507
10122211221220097
1135a3854037aa09
121185942a86a281
1353266129b16c9
1422270aa018a09
15e1dedac93567
hex6f26846dab01

122211221220097 has 2 divisors, whose sum is σ = 122211221220098. Its totient is φ = 122211221220096.

The previous prime is 122211221220083. The next prime is 122211221220149. The reversal of 122211221220097 is 790022122112221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 118484008721296 + 3727212498801 = 10885036^2 + 1930599^2 .

It is a cyclic number.

It is not a de Polignac number, because 122211221220097 - 211 = 122211221218049 is a prime.

It is a super-3 number, since 3×1222112212200973 (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (122211221220397) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61105610610048 + 61105610610049.

It is an arithmetic number, because the mean of its divisors is an integer number (61105610610049).

Almost surely, 2122211221220097 is an apocalyptic number.

It is an amenable number.

122211221220097 is a deficient number, since it is larger than the sum of its proper divisors (1).

122211221220097 is an equidigital number, since it uses as much as digits as its factorization.

122211221220097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8064, while the sum is 34.

The spelling of 122211221220097 in words is "one hundred twenty-two trillion, two hundred eleven billion, two hundred twenty-one million, two hundred twenty thousand, ninety-seven".