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12122533871957 is a prime number
BaseRepresentation
bin1011000001100111111101…
…0100110100000101010101
31120220220101020011202011102
42300121333110310011111
53042103422132400312
641441003140115445
72360552455516505
oct260317724640525
946826336152142
1012122533871957
113954157378483
121439518095b85
1369c1c4835872
142dca3b671a05
15160505592ec2
hexb067f534155

12122533871957 has 2 divisors, whose sum is σ = 12122533871958. Its totient is φ = 12122533871956.

The previous prime is 12122533871951. The next prime is 12122533871963. The reversal of 12122533871957 is 75917833522121.

It is a happy number.

12122533871957 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (12122533871951) and next prime (12122533871963).

It can be written as a sum of positive squares in only one way, i.e., 10355099228356 + 1767434643601 = 3217934^2 + 1329449^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12122533871957 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12122533871951) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6061266935978 + 6061266935979.

It is an arithmetic number, because the mean of its divisors is an integer number (6061266935979).

Almost surely, 212122533871957 is an apocalyptic number.

It is an amenable number.

12122533871957 is a deficient number, since it is larger than the sum of its proper divisors (1).

12122533871957 is an equidigital number, since it uses as much as digits as its factorization.

12122533871957 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6350400, while the sum is 56.

The spelling of 12122533871957 in words is "twelve trillion, one hundred twenty-two billion, five hundred thirty-three million, eight hundred seventy-one thousand, nine hundred fifty-seven".