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12400124526817 is a prime number
BaseRepresentation
bin1011010001110010000100…
…0001001000000011100001
31121220102212222222002110121
42310130201001020003201
53111130423334324232
642212312155200241
72416610434250326
oct264344101100341
947812788862417
1012400124526817
113a50955030025
121483288746081
136bc432a7b421
1430c252518b4d
15167850715d97
hexb47210480e1

12400124526817 has 2 divisors, whose sum is σ = 12400124526818. Its totient is φ = 12400124526816.

The previous prime is 12400124526809. The next prime is 12400124526841. The reversal of 12400124526817 is 71862542100421.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7076578913856 + 5323545612961 = 2660184^2 + 2307281^2 .

It is a cyclic number.

It is not a de Polignac number, because 12400124526817 - 23 = 12400124526809 is a prime.

It is not a weakly prime, because it can be changed into another prime (12400124526847) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6200062263408 + 6200062263409.

It is an arithmetic number, because the mean of its divisors is an integer number (6200062263409).

Almost surely, 212400124526817 is an apocalyptic number.

It is an amenable number.

12400124526817 is a deficient number, since it is larger than the sum of its proper divisors (1).

12400124526817 is an equidigital number, since it uses as much as digits as its factorization.

12400124526817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 215040, while the sum is 43.

The spelling of 12400124526817 in words is "twelve trillion, four hundred billion, one hundred twenty-four million, five hundred twenty-six thousand, eight hundred seventeen".