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12312144758761 is a prime number
BaseRepresentation
bin1011001100101010010100…
…0000111100011111101001
31121121000210112111210120121
42303022211000330133221
53103210233024240021
642104042103323241
72410344265461661
oct263124500743751
947530715453517
1012312144758761
113a17607815111
12146a214450521
136b4051668383
14307ca7a611a1
151654018e6741
hexb32a503c7e9

12312144758761 has 2 divisors, whose sum is σ = 12312144758762. Its totient is φ = 12312144758760.

The previous prime is 12312144758741. The next prime is 12312144758773. The reversal of 12312144758761 is 16785744121321.

12312144758761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12175877466025 + 136267292736 = 3489395^2 + 369144^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12312144758761 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12312144758699 and 12312144758708.

It is not a weakly prime, because it can be changed into another prime (12312144758741) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6156072379380 + 6156072379381.

It is an arithmetic number, because the mean of its divisors is an integer number (6156072379381).

Almost surely, 212312144758761 is an apocalyptic number.

It is an amenable number.

12312144758761 is a deficient number, since it is larger than the sum of its proper divisors (1).

12312144758761 is an equidigital number, since it uses as much as digits as its factorization.

12312144758761 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2257920, while the sum is 52.

The spelling of 12312144758761 in words is "twelve trillion, three hundred twelve billion, one hundred forty-four million, seven hundred fifty-eight thousand, seven hundred sixty-one".