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12004122401 is a prime number
BaseRepresentation
bin10110010111000000…
…00101111100100001
31010222120212121012222
423023200011330201
5144041023404101
65303054000425
7603321233255
oct131340057441
933876777188
1012004122401
115100017917
1223b01a6115
131193c7900b
1481c3b2265
154a3cd701b
hex2cb805f21

12004122401 has 2 divisors, whose sum is σ = 12004122402. Its totient is φ = 12004122400.

The previous prime is 12004122379. The next prime is 12004122421. The reversal of 12004122401 is 10422140021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10246500625 + 1757621776 = 101225^2 + 41924^2 .

It is a cyclic number.

It is not a de Polignac number, because 12004122401 - 218 = 12003860257 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12004122401.

It is not a weakly prime, because it can be changed into another prime (12004122421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6002061200 + 6002061201.

It is an arithmetic number, because the mean of its divisors is an integer number (6002061201).

Almost surely, 212004122401 is an apocalyptic number.

It is an amenable number.

12004122401 is a deficient number, since it is larger than the sum of its proper divisors (1).

12004122401 is an equidigital number, since it uses as much as digits as its factorization.

12004122401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 12004122401 its reverse (10422140021), we get a palindrome (22426262422).

The spelling of 12004122401 in words is "twelve billion, four million, one hundred twenty-two thousand, four hundred one".