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12406344001 is a prime number
BaseRepresentation
bin10111000110111100…
…11100100101000001
31012000121201120112021
423203132130211001
5200402011002001
65411023001441
7616304120062
oct134336344501
935017646467
1012406344001
11529706a967
1224a2a39281
1312293b786c
14859994569
154c9288ba1
hex2e379c941

12406344001 has 2 divisors, whose sum is σ = 12406344002. Its totient is φ = 12406344000.

The previous prime is 12406343981. The next prime is 12406344017. The reversal of 12406344001 is 10044360421.

12406344001 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., 9177831601 + 3228512400 = 95801^2 + 56820^2 .

It is an emirp because it is prime and its reverse (10044360421) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12406344001 - 211 = 12406341953 is a prime.

It is a super-2 number, since 2×124063440012 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12406344061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6203172000 + 6203172001.

It is an arithmetic number, because the mean of its divisors is an integer number (6203172001).

Almost surely, 212406344001 is an apocalyptic number.

It is an amenable number.

12406344001 is a deficient number, since it is larger than the sum of its proper divisors (1).

12406344001 is an equidigital number, since it uses as much as digits as its factorization.

12406344001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 25.

The spelling of 12406344001 in words is "twelve billion, four hundred six million, three hundred forty-four thousand, one".