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12117435325769 is a prime number
BaseRepresentation
bin1011000001010100111101…
…1011011001110101001001
31120220102012220100202122102
42300111033123121311021
53042013001420411034
641434401204403145
72360312225553404
oct260251733316511
946812186322572
1012117435325769
113951a80382244
1214385346a64b5
1369b891452127
142dc6b647ad3b
15160307b7297e
hexb054f6d9d49

12117435325769 has 2 divisors, whose sum is σ = 12117435325770. Its totient is φ = 12117435325768.

The previous prime is 12117435325763. The next prime is 12117435325771. The reversal of 12117435325769 is 96752353471121.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9126652471225 + 2990782854544 = 3021035^2 + 1729388^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12117435325769 is a prime.

It is a super-2 number, since 2×121174353257692 (a number of 27 digits) contains 22 as substring.

Together with 12117435325771, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (12117435325763) 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, 6058717662884 + 6058717662885.

It is an arithmetic number, because the mean of its divisors is an integer number (6058717662885).

Almost surely, 212117435325769 is an apocalyptic number.

It is an amenable number.

12117435325769 is a deficient number, since it is larger than the sum of its proper divisors (1).

12117435325769 is an equidigital number, since it uses as much as digits as its factorization.

12117435325769 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9525600, while the sum is 56.

The spelling of 12117435325769 in words is "twelve trillion, one hundred seventeen billion, four hundred thirty-five million, three hundred twenty-five thousand, seven hundred sixty-nine".