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12333345677761 is a prime number
BaseRepresentation
bin1011001101111001010010…
…1100000010000111000001
31121200001112001210001222211
42303132110230002013001
53104032142443142021
642121505532502121
72412024542352313
oct263362454020701
947601461701884
1012333345677761
113a255a7118379
12147235061a941
136b604ca99864
14308d196357b3
15165c42cd03e1
hexb3794b021c1

12333345677761 has 2 divisors, whose sum is σ = 12333345677762. Its totient is φ = 12333345677760.

The previous prime is 12333345677749. The next prime is 12333345677909. The reversal of 12333345677761 is 16777654333321.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7925210280625 + 4408135397136 = 2815175^2 + 2099556^2 .

It is a cyclic number.

It is not a de Polignac number, because 12333345677761 - 27 = 12333345677633 is a prime.

It is a super-2 number, since 2×123333456777612 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12333345677696 and 12333345677705.

It is not a weakly prime, because it can be changed into another prime (12333345677161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6166672838880 + 6166672838881.

It is an arithmetic number, because the mean of its divisors is an integer number (6166672838881).

Almost surely, 212333345677761 is an apocalyptic number.

It is an amenable number.

12333345677761 is a deficient number, since it is larger than the sum of its proper divisors (1).

12333345677761 is an equidigital number, since it uses as much as digits as its factorization.

12333345677761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 40007520, while the sum is 58.

The spelling of 12333345677761 in words is "twelve trillion, three hundred thirty-three billion, three hundred forty-five million, six hundred seventy-seven thousand, seven hundred sixty-one".