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122072171161 is a prime number
BaseRepresentation
bin111000110110000010…
…0011000001010011001
3102200002102022210221111
41301230010120022121
54000000433434121
6132025034140321
711551030222513
oct1615404301231
9380072283844
10122072171161
1147852615a76
121b7a98816a1
13b6855b0555
145ca062abb3
153296d722e1
hex1c6c118299

122072171161 has 2 divisors, whose sum is σ = 122072171162. Its totient is φ = 122072171160.

The previous prime is 122072171159. The next prime is 122072171171. The reversal of 122072171161 is 161171270221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 110200761225 + 11871409936 = 331965^2 + 108956^2 .

It is a cyclic number.

It is not a de Polignac number, because 122072171161 - 21 = 122072171159 is a prime.

It is a super-2 number, since 2×1220721711612 (a number of 23 digits) contains 22 as substring.

Together with 122072171159, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (122072171141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61036085580 + 61036085581.

It is an arithmetic number, because the mean of its divisors is an integer number (61036085581).

Almost surely, 2122072171161 is an apocalyptic number.

It is an amenable number.

122072171161 is a deficient number, since it is larger than the sum of its proper divisors (1).

122072171161 is an equidigital number, since it uses as much as digits as its factorization.

122072171161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2352, while the sum is 31.

The spelling of 122072171161 in words is "one hundred twenty-two billion, seventy-two million, one hundred seventy-one thousand, one hundred sixty-one".