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12200301022181 is a prime number
BaseRepresentation
bin1011000110001001101010…
…0110111100101111100101
31121012100002221210022002112
42301202122212330233211
53044342204030202211
641540424012050405
72366304555424136
oct261423246745745
947170087708075
1012200301022181
113984133958468
121450600163a05
136a66391a6b9c
143026d7a5bc8d
15162557a0688b
hexb189a9bcbe5

12200301022181 has 2 divisors, whose sum is σ = 12200301022182. Its totient is φ = 12200301022180.

The previous prime is 12200301022111. The next prime is 12200301022183. The reversal of 12200301022181 is 18122010300221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8822884071556 + 3377416950625 = 2970334^2 + 1837775^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12200301022181 is a prime.

It is a super-2 number, since 2×122003010221812 (a number of 27 digits) contains 22 as substring.

Together with 12200301022183, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12200301022183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6100150511090 + 6100150511091.

It is an arithmetic number, because the mean of its divisors is an integer number (6100150511091).

Almost surely, 212200301022181 is an apocalyptic number.

It is an amenable number.

12200301022181 is a deficient number, since it is larger than the sum of its proper divisors (1).

12200301022181 is an equidigital number, since it uses as much as digits as its factorization.

12200301022181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 384, while the sum is 23.

The spelling of 12200301022181 in words is "twelve trillion, two hundred billion, three hundred one million, twenty-two thousand, one hundred eighty-one".