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12112200121097 is a prime number
BaseRepresentation
bin1011000001000001011101…
…1000101011101100001001
31120212220201001101210221002
42300100113120223230021
53041421241212333342
641432133512024345
72360035416215126
oct260202730535411
946786631353832
1012112200121097
11394a83422750a
1214375133920b5
1369b23896129b
142dc33b07174d
151600ed25ad32
hexb041762bb09

12112200121097 has 2 divisors, whose sum is σ = 12112200121098. Its totient is φ = 12112200121096.

The previous prime is 12112200121067. The next prime is 12112200121123. The reversal of 12112200121097 is 79012100221121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9524747715961 + 2587452405136 = 3086219^2 + 1608556^2 .

It is a cyclic number.

It is not a de Polignac number, because 12112200121097 - 218 = 12112199858953 is a prime.

It is not a weakly prime, because it can be changed into another prime (12112200121067) 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, 6056100060548 + 6056100060549.

It is an arithmetic number, because the mean of its divisors is an integer number (6056100060549).

Almost surely, 212112200121097 is an apocalyptic number.

It is an amenable number.

12112200121097 is a deficient number, since it is larger than the sum of its proper divisors (1).

12112200121097 is an equidigital number, since it uses as much as digits as its factorization.

12112200121097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 29.

The spelling of 12112200121097 in words is "twelve trillion, one hundred twelve billion, two hundred million, one hundred twenty-one thousand, ninety-seven".