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12002121211009 is a prime number
BaseRepresentation
bin1010111010100111011000…
…1010111101110010000001
31120111101120110111210021011
42232221312022331302001
53033120321012223014
641305410503000521
72346060516011116
oct256516612756201
946441513453234
1012002121211009
113908086590056
12141a112139141
13690a44cc6127
142d6c975ca90d
1515c3092777c4
hexaea762bdc81

12002121211009 has 2 divisors, whose sum is σ = 12002121211010. Its totient is φ = 12002121211008.

The previous prime is 12002121211001. The next prime is 12002121211019. The reversal of 12002121211009 is 90011212120021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11190731015025 + 811390195984 = 3345255^2 + 900772^2 .

It is a cyclic number.

It is not a de Polignac number, because 12002121211009 - 23 = 12002121211001 is a prime.

It is not a weakly prime, because it can be changed into another prime (12002121211001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6001060605504 + 6001060605505.

It is an arithmetic number, because the mean of its divisors is an integer number (6001060605505).

Almost surely, 212002121211009 is an apocalyptic number.

It is an amenable number.

12002121211009 is a deficient number, since it is larger than the sum of its proper divisors (1).

12002121211009 is an equidigital number, since it uses as much as digits as its factorization.

12002121211009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 22.

The spelling of 12002121211009 in words is "twelve trillion, two billion, one hundred twenty-one million, two hundred eleven thousand, nine".