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12201205827793 is a prime number
BaseRepresentation
bin1011000110001101000010…
…0010100000100011010001
31121012102110000100012001111
42301203100202200203101
53044401032142442133
641541053453133321
72366336153226313
oct261432042404321
947172400305044
1012201205827793
1139845586722a4
12145081318a241
136a6751793a18
14302781ca97b3
151625ac1821cd
hexb18d08a08d1

12201205827793 has 2 divisors, whose sum is σ = 12201205827794. Its totient is φ = 12201205827792.

The previous prime is 12201205827787. The next prime is 12201205827821. The reversal of 12201205827793 is 39772850210221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9006289098304 + 3194916729489 = 3001048^2 + 1787433^2 .

It is a cyclic number.

It is not a de Polignac number, because 12201205827793 - 225 = 12201172273361 is a prime.

It is not a weakly prime, because it can be changed into another prime (12201205827703) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6100602913896 + 6100602913897.

It is an arithmetic number, because the mean of its divisors is an integer number (6100602913897).

Almost surely, 212201205827793 is an apocalyptic number.

It is an amenable number.

12201205827793 is a deficient number, since it is larger than the sum of its proper divisors (1).

12201205827793 is an equidigital number, since it uses as much as digits as its factorization.

12201205827793 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 846720, while the sum is 49.

The spelling of 12201205827793 in words is "twelve trillion, two hundred one billion, two hundred five million, eight hundred twenty-seven thousand, seven hundred ninety-three".