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120456856417 is a prime number
BaseRepresentation
bin111000000101111001…
…0011100001101100001
3102111220211211022200111
41300023302130031201
53433143423401132
6131200452251321
711463014246212
oct1601362341541
9374824738614
10120456856417
11470a3834107
121b418910b41
13b488a44b01
145b89cab409
15320014a647
hex1c0bc9c361

120456856417 has 2 divisors, whose sum is σ = 120456856418. Its totient is φ = 120456856416.

The previous prime is 120456856349. The next prime is 120456856423. The reversal of 120456856417 is 714658654021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 120045618576 + 411237841 = 346476^2 + 20279^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-120456856417 is a prime.

It is not a weakly prime, because it can be changed into another prime (120456856217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60228428208 + 60228428209.

It is an arithmetic number, because the mean of its divisors is an integer number (60228428209).

Almost surely, 2120456856417 is an apocalyptic number.

It is an amenable number.

120456856417 is a deficient number, since it is larger than the sum of its proper divisors (1).

120456856417 is an equidigital number, since it uses as much as digits as its factorization.

120456856417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1612800, while the sum is 49.

The spelling of 120456856417 in words is "one hundred twenty billion, four hundred fifty-six million, eight hundred fifty-six thousand, four hundred seventeen".