Search a number
-
+
12405664440161 is a prime number
BaseRepresentation
bin1011010010000110101100…
…1110001101111101100001
31121220222012002021211220022
42310201223032031331201
53111223300044041121
642215030014523225
72420164633606226
oct264415316157541
947828162254808
1012405664440161
113a53238185a03
121484373b06515
136bcb06728365
1430c61a1a194d
15167a76c6baab
hexb486b38df61

12405664440161 has 2 divisors, whose sum is σ = 12405664440162. Its totient is φ = 12405664440160.

The previous prime is 12405664440109. The next prime is 12405664440223. The reversal of 12405664440161 is 16104446650421.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10840523325025 + 1565141115136 = 3292495^2 + 1251056^2 .

It is a cyclic number.

It is not a de Polignac number, because 12405664440161 - 26 = 12405664440097 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (12405664140161) 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, 6202832220080 + 6202832220081.

It is an arithmetic number, because the mean of its divisors is an integer number (6202832220081).

Almost surely, 212405664440161 is an apocalyptic number.

It is an amenable number.

12405664440161 is a deficient number, since it is larger than the sum of its proper divisors (1).

12405664440161 is an equidigital number, since it uses as much as digits as its factorization.

12405664440161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 552960, while the sum is 44.

The spelling of 12405664440161 in words is "twelve trillion, four hundred five billion, six hundred sixty-four million, four hundred forty thousand, one hundred sixty-one".