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121716817969 is a prime number
BaseRepresentation
bin111000101011011100…
…0110100000000110001
3102122011122200000000011
41301112320310000301
53443234001133334
6131525501454521
711536153611415
oct1612670640061
9378148600004
10121716817969
114768aa7494a
121b70a871441
13b629aa18a6
145c69368d45
153275a7c564
hex1c56e34031

121716817969 has 2 divisors, whose sum is σ = 121716817970. Its totient is φ = 121716817968.

The previous prime is 121716817967. The next prime is 121716817987. The reversal of 121716817969 is 969718617121.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64548007969 + 57168810000 = 254063^2 + 239100^2 .

It is a cyclic number.

It is not a de Polignac number, because 121716817969 - 21 = 121716817967 is a prime.

It is a super-3 number, since 3×1217168179693 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 121716817967, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (121716817967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60858408984 + 60858408985.

It is an arithmetic number, because the mean of its divisors is an integer number (60858408985).

Almost surely, 2121716817969 is an apocalyptic number.

It is an amenable number.

121716817969 is a deficient number, since it is larger than the sum of its proper divisors (1).

121716817969 is an equidigital number, since it uses as much as digits as its factorization.

121716817969 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2286144, while the sum is 58.

The spelling of 121716817969 in words is "one hundred twenty-one billion, seven hundred sixteen million, eight hundred seventeen thousand, nine hundred sixty-nine".