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12123013320953 is a prime number
BaseRepresentation
bin1011000001101001101111…
…1001110001000011111001
31120220221121122100021112122
42300122123321301003321
53042110412402232303
641441122504251025
72360600400001133
oct260323371610371
946827548307478
1012123013320953
113954382a78617
121439630770a75
1369c26cc737b2
142dca851d8053
151605326ebe38
hexb069be710f9

12123013320953 has 2 divisors, whose sum is σ = 12123013320954. Its totient is φ = 12123013320952.

The previous prime is 12123013320949. The next prime is 12123013321121. The reversal of 12123013320953 is 35902331032121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6110645568784 + 6012367752169 = 2471972^2 + 2452013^2 .

It is a cyclic number.

It is not a de Polignac number, because 12123013320953 - 22 = 12123013320949 is a prime.

It is not a weakly prime, because it can be changed into another prime (12123013320853) 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, 6061506660476 + 6061506660477.

It is an arithmetic number, because the mean of its divisors is an integer number (6061506660477).

Almost surely, 212123013320953 is an apocalyptic number.

It is an amenable number.

12123013320953 is a deficient number, since it is larger than the sum of its proper divisors (1).

12123013320953 is an equidigital number, since it uses as much as digits as its factorization.

12123013320953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 29160, while the sum is 35.

The spelling of 12123013320953 in words is "twelve trillion, one hundred twenty-three billion, thirteen million, three hundred twenty thousand, nine hundred fifty-three".