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12614656001201 is a prime number
BaseRepresentation
bin1011011110010001010000…
…0101110000010010110001
31122122221122001210011022222
42313210110011300102301
53123134303414014301
642455032025210425
72441243635556012
oct267442405602261
948587561704288
1012614656001201
1140239334a3a91
1214b897a930a15
13706731831647
143187a44dd009
1516d2097a231b
hexb79141704b1

12614656001201 has 2 divisors, whose sum is σ = 12614656001202. Its totient is φ = 12614656001200.

The previous prime is 12614656001179. The next prime is 12614656001221. The reversal of 12614656001201 is 10210065641621.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12603572122801 + 11083878400 = 3550151^2 + 105280^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12614656001201 is a prime.

It is not a weakly prime, because it can be changed into another prime (12614656001221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6307328000600 + 6307328000601.

It is an arithmetic number, because the mean of its divisors is an integer number (6307328000601).

Almost surely, 212614656001201 is an apocalyptic number.

It is an amenable number.

12614656001201 is a deficient number, since it is larger than the sum of its proper divisors (1).

12614656001201 is an equidigital number, since it uses as much as digits as its factorization.

12614656001201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17280, while the sum is 35.

The spelling of 12614656001201 in words is "twelve trillion, six hundred fourteen billion, six hundred fifty-six million, one thousand, two hundred one".