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12121200097 is a prime number
BaseRepresentation
bin10110100100111101…
…01101010111100001
31011021202011202121221
423102132231113201
5144311011400342
65322435215041
7606242333536
oct132236552741
934252152557
1012121200097
115160113046
122423447481
1311b22bba66
1482db6ad8d
154ae211a67
hex2d27ad5e1

12121200097 has 2 divisors, whose sum is σ = 12121200098. Its totient is φ = 12121200096.

The previous prime is 12121200067. The next prime is 12121200103. The reversal of 12121200097 is 79000212121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11304155041 + 817045056 = 106321^2 + 28584^2 .

It is a cyclic number.

It is not a de Polignac number, because 12121200097 - 211 = 12121198049 is a prime.

It is not a weakly prime, because it can be changed into another prime (12121200067) 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, 6060600048 + 6060600049.

It is an arithmetic number, because the mean of its divisors is an integer number (6060600049).

Almost surely, 212121200097 is an apocalyptic number.

It is an amenable number.

12121200097 is a deficient number, since it is larger than the sum of its proper divisors (1).

12121200097 is an equidigital number, since it uses as much as digits as its factorization.

12121200097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 25.

The spelling of 12121200097 in words is "twelve billion, one hundred twenty-one million, two hundred thousand, ninety-seven".