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12001967556769 is a prime number
BaseRepresentation
bin1010111010100110110100…
…0000110100100010100001
31120111101011202101100021101
42232221231000310202201
53033120012143304034
641305343333354401
72346053641661431
oct256515500644241
946441152340241
1012001967556769
113908007882383
12141a08a798a01
13690a1c217b68
142d6c810302c1
1515c2eaa25514
hexaea6d0348a1

12001967556769 has 2 divisors, whose sum is σ = 12001967556770. Its totient is φ = 12001967556768.

The previous prime is 12001967556749. The next prime is 12001967556797. The reversal of 12001967556769 is 96765576910021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7013958998544 + 4988008558225 = 2648388^2 + 2233385^2 .

It is a cyclic number.

It is not a de Polignac number, because 12001967556769 - 211 = 12001967554721 is a prime.

It is a super-2 number, since 2×120019675567692 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12001967556769.

It is not a weakly prime, because it can be changed into another prime (12001967556749) 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, 6000983778384 + 6000983778385.

It is an arithmetic number, because the mean of its divisors is an integer number (6000983778385).

Almost surely, 212001967556769 is an apocalyptic number.

It is an amenable number.

12001967556769 is a deficient number, since it is larger than the sum of its proper divisors (1).

12001967556769 is an equidigital number, since it uses as much as digits as its factorization.

12001967556769 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42865200, while the sum is 64.

The spelling of 12001967556769 in words is "twelve trillion, one billion, nine hundred sixty-seven million, five hundred fifty-six thousand, seven hundred sixty-nine".