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12404400193 is a prime number
BaseRepresentation
bin10111000110101110…
…00010000001000001
31012000111001211010101
423203113002001001
5200401011301233
65410513202401
7616251443023
oct134327020101
935014054111
1012404400193
115295a62509
1224a2260401
131228b86b93
1485960a013
154c9002c7d
hex2e35c2041

12404400193 has 2 divisors, whose sum is σ = 12404400194. Its totient is φ = 12404400192.

The previous prime is 12404400163. The next prime is 12404400221. The reversal of 12404400193 is 39100440421.

It is an a-pointer prime, because the next prime (12404400221) can be obtained adding 12404400193 to its sum of digits (28).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10671509809 + 1732890384 = 103303^2 + 41628^2 .

It is a cyclic number.

It is not a de Polignac number, because 12404400193 - 217 = 12404269121 is a prime.

It is not a weakly prime, because it can be changed into another prime (12404400163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6202200096 + 6202200097.

It is an arithmetic number, because the mean of its divisors is an integer number (6202200097).

Almost surely, 212404400193 is an apocalyptic number.

It is an amenable number.

12404400193 is a deficient number, since it is larger than the sum of its proper divisors (1).

12404400193 is an equidigital number, since it uses as much as digits as its factorization.

12404400193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 12404400193 in words is "twelve billion, four hundred four million, four hundred thousand, one hundred ninety-three".