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122012122081 is a prime number
BaseRepresentation
bin111000110100001111…
…1010011101111100001
3102122221020100000002111
41301220133103233201
53444340100401311
6132015051115321
711546400632353
oct1615037235741
9378836300074
10122012122081
1147821731233
121b791742b41
13b676017155
145c966790d3
15329195ed21
hex1c687d3be1

122012122081 has 2 divisors, whose sum is σ = 122012122082. Its totient is φ = 122012122080.

The previous prime is 122012122049. The next prime is 122012122091. The reversal of 122012122081 is 180221210221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85737110481 + 36275011600 = 292809^2 + 190460^2 .

It is a cyclic number.

It is not a de Polignac number, because 122012122081 - 25 = 122012122049 is a prime.

It is a super-2 number, since 2×1220121220812 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122012122091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61006061040 + 61006061041.

It is an arithmetic number, because the mean of its divisors is an integer number (61006061041).

Almost surely, 2122012122081 is an apocalyptic number.

It is an amenable number.

122012122081 is a deficient number, since it is larger than the sum of its proper divisors (1).

122012122081 is an equidigital number, since it uses as much as digits as its factorization.

122012122081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 22.

The spelling of 122012122081 in words is "one hundred twenty-two billion, twelve million, one hundred twenty-two thousand, eighty-one".