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12001322401 is a prime number
BaseRepresentation
bin10110010110101010…
…11010010110100001
31010222101121100100021
423023111122112201
5144034314304101
65302513553441
7603255362065
oct131325322641
933871540307
1012001322401
1150a9485172
1223ab275881
131193508703
1481bc83aa5
154a39325a1
hex2cb55a5a1

12001322401 has 2 divisors, whose sum is σ = 12001322402. Its totient is φ = 12001322400.

The previous prime is 12001322357. The next prime is 12001322407. The reversal of 12001322401 is 10422310021.

12001322401 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., 7981635600 + 4019686801 = 89340^2 + 63401^2 .

It is an emirp because it is prime and its reverse (10422310021) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12001322401 is a prime.

It is a super-3 number, since 3×120013224013 (a number of 31 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (12001322407) 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, 6000661200 + 6000661201.

It is an arithmetic number, because the mean of its divisors is an integer number (6000661201).

Almost surely, 212001322401 is an apocalyptic number.

It is an amenable number.

12001322401 is a deficient number, since it is larger than the sum of its proper divisors (1).

12001322401 is an equidigital number, since it uses as much as digits as its factorization.

12001322401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12001322401 its reverse (10422310021), we get a palindrome (22423632422).

The spelling of 12001322401 in words is "twelve billion, one million, three hundred twenty-two thousand, four hundred one".