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12001164155261 is a prime number
BaseRepresentation
bin1010111010100011110100…
…1000000101100101111101
31120111022002202122022120222
42232220331020011211331
53033111341010432021
641305131513551125
72346025015120121
oct256507510054575
946438082568528
1012001164155261
113907735328996
121419aa57154a5
13690921943958
142d6c0645b581
1515c2a022a6ab
hexaea3d20597d

12001164155261 has 2 divisors, whose sum is σ = 12001164155262. Its totient is φ = 12001164155260.

The previous prime is 12001164155251. The next prime is 12001164155293. The reversal of 12001164155261 is 16255146110021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11433561636025 + 567602519236 = 3381355^2 + 753394^2 .

It is a cyclic number.

It is not a de Polignac number, because 12001164155261 - 222 = 12001159960957 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12001164155251) 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, 6000582077630 + 6000582077631.

It is an arithmetic number, because the mean of its divisors is an integer number (6000582077631).

Almost surely, 212001164155261 is an apocalyptic number.

It is an amenable number.

12001164155261 is a deficient number, since it is larger than the sum of its proper divisors (1).

12001164155261 is an equidigital number, since it uses as much as digits as its factorization.

12001164155261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14400, while the sum is 35.

The spelling of 12001164155261 in words is "twelve trillion, one billion, one hundred sixty-four million, one hundred fifty-five thousand, two hundred sixty-one".