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12884912401 is a prime number
BaseRepresentation
bin11000000000000000…
…00010100100010001
31020020222020100221211
430000000002210101
5202342014144101
65530320220121
7634204643164
oct140000024421
936228210854
1012884912401
115512219439
1225b716a641
1312a45a7a2a
148a336badb
155062bbc51
hex300002911

12884912401 has 2 divisors, whose sum is σ = 12884912402. Its totient is φ = 12884912400.

The previous prime is 12884912347. The next prime is 12884912419. The reversal of 12884912401 is 10421948821.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8365846225 + 4519066176 = 91465^2 + 67224^2 .

It is a cyclic number.

It is not a de Polignac number, because 12884912401 - 215 = 12884879633 is a prime.

It is not a weakly prime, because it can be changed into another prime (12884912471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6442456200 + 6442456201.

It is an arithmetic number, because the mean of its divisors is an integer number (6442456201).

Almost surely, 212884912401 is an apocalyptic number.

It is an amenable number.

12884912401 is a deficient number, since it is larger than the sum of its proper divisors (1).

12884912401 is an equidigital number, since it uses as much as digits as its factorization.

12884912401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36864, while the sum is 40.

The spelling of 12884912401 in words is "twelve billion, eight hundred eighty-four million, nine hundred twelve thousand, four hundred one".