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12123171437249 is a prime number
BaseRepresentation
bin1011000001101010010101…
…0100111011101011000001
31120220222000122212102022202
42300122211110323223001
53042111223341442444
641441150313242545
72360604326653445
oct260324524735301
946828018772282
1012123171437249
113954454253744
121439675703455
1369c296954a32
142dca9c1d6825
1516054153134e
hexb06a553bac1

12123171437249 has 2 divisors, whose sum is σ = 12123171437250. Its totient is φ = 12123171437248.

The previous prime is 12123171437177. The next prime is 12123171437261. The reversal of 12123171437249 is 94273417132121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10677569199025 + 1445602238224 = 3267655^2 + 1202332^2 .

It is a cyclic number.

It is not a de Polignac number, because 12123171437249 - 28 = 12123171436993 is a prime.

It is not a weakly prime, because it can be changed into another prime (12123171437449) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6061585718624 + 6061585718625.

It is an arithmetic number, because the mean of its divisors is an integer number (6061585718625).

Almost surely, 212123171437249 is an apocalyptic number.

It is an amenable number.

12123171437249 is a deficient number, since it is larger than the sum of its proper divisors (1).

12123171437249 is an equidigital number, since it uses as much as digits as its factorization.

12123171437249 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 508032, while the sum is 47.

The spelling of 12123171437249 in words is "twelve trillion, one hundred twenty-three billion, one hundred seventy-one million, four hundred thirty-seven thousand, two hundred forty-nine".