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122212000081 is a prime number
BaseRepresentation
bin111000111010001100…
…1110010000101010001
3102200110011102212011101
41301310121302011101
54000242233000311
6132050551144401
711554345601143
oct1616431620521
9380404385141
10122212000081
1147914540566
121b828675101
13b6a855aa62
145cb5028c93
1532a4292ec1
hex1c74672151

122212000081 has 2 divisors, whose sum is σ = 122212000082. Its totient is φ = 122212000080.

The previous prime is 122212000063. The next prime is 122212000121. The reversal of 122212000081 is 180000212221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100288755856 + 21923244225 = 316684^2 + 148065^2 .

It is a cyclic number.

It is not a de Polignac number, because 122212000081 - 27 = 122211999953 is a prime.

It is a super-2 number, since 2×1222120000812 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122212090081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61106000040 + 61106000041.

It is an arithmetic number, because the mean of its divisors is an integer number (61106000041).

Almost surely, 2122212000081 is an apocalyptic number.

It is an amenable number.

122212000081 is a deficient number, since it is larger than the sum of its proper divisors (1).

122212000081 is an equidigital number, since it uses as much as digits as its factorization.

122212000081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 19.

The spelling of 122212000081 in words is "one hundred twenty-two billion, two hundred twelve million, eighty-one", and thus it is an aban number.