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122129664689 is a prime number
BaseRepresentation
bin111000110111101111…
…1101100101010110001
3102200020102111210020102
41301233133230222301
54000110143232224
6132034450322145
711552326010234
oct1615737545261
9380212453212
10122129664689
114788201478a
121b804b89355
13b6944906a6
145ca811541b
15329be2c4ae
hex1c6f7ecab1

122129664689 has 2 divisors, whose sum is σ = 122129664690. Its totient is φ = 122129664688.

The previous prime is 122129664667. The next prime is 122129664697. The reversal of 122129664689 is 986466921221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101065496464 + 21064168225 = 317908^2 + 145135^2 .

It is an emirp because it is prime and its reverse (986466921221) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122129664689 is a prime.

It is not a weakly prime, because it can be changed into another prime (122129664089) 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, 61064832344 + 61064832345.

It is an arithmetic number, because the mean of its divisors is an integer number (61064832345).

Almost surely, 2122129664689 is an apocalyptic number.

It is an amenable number.

122129664689 is a deficient number, since it is larger than the sum of its proper divisors (1).

122129664689 is an equidigital number, since it uses as much as digits as its factorization.

122129664689 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4478976, while the sum is 56.

The spelling of 122129664689 in words is "one hundred twenty-two billion, one hundred twenty-nine million, six hundred sixty-four thousand, six hundred eighty-nine".