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1201122000817 is a prime number
BaseRepresentation
bin10001011110101000011…
…100110011111110110001
311020211022020221122202021
4101132220130303332301
5124134344213011232
62315442100551441
7152530631360314
oct21365034637661
94224266848667
101201122000817
114234360689a2
121749513b2581
138935ab9c70b
14421c555297b
152139d46a397
hex117a8733fb1

1201122000817 has 2 divisors, whose sum is σ = 1201122000818. Its totient is φ = 1201122000816.

The previous prime is 1201122000787. The next prime is 1201122000863. The reversal of 1201122000817 is 7180002211021.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1036240525681 + 164881475136 = 1017959^2 + 406056^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1201122000817 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1201122000791 and 1201122000800.

It is not a weakly prime, because it can be changed into another prime (1201122000217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 600561000408 + 600561000409.

It is an arithmetic number, because the mean of its divisors is an integer number (600561000409).

Almost surely, 21201122000817 is an apocalyptic number.

It is an amenable number.

1201122000817 is a deficient number, since it is larger than the sum of its proper divisors (1).

1201122000817 is an equidigital number, since it uses as much as digits as its factorization.

1201122000817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 448, while the sum is 25.

Adding to 1201122000817 its reverse (7180002211021), we get a palindrome (8381124211838).

The spelling of 1201122000817 in words is "one trillion, two hundred one billion, one hundred twenty-two million, eight hundred seventeen", and thus it is an aban number.