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12200221200001 is a prime number
BaseRepresentation
bin1011000110001001010111…
…0110011100111010000001
31121012022220101120220122111
42301202111312130322001
53044342023111400001
641540412041135321
72366302566101332
oct261422566347201
947168811526574
1012200221200001
1139840a289891a
12145059948a541
136a66257a9723
143026cb200289
151625509da851
hexb1895d9ce81

12200221200001 has 2 divisors, whose sum is σ = 12200221200002. Its totient is φ = 12200221200000.

The previous prime is 12200221199987. The next prime is 12200221200019. The reversal of 12200221200001 is 10000212200221.

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., 8457621423601 + 3742599776400 = 2908199^2 + 1934580^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12200221200001 is a prime.

It is not a weakly prime, because it can be changed into another prime (12200225200001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6100110600000 + 6100110600001.

It is an arithmetic number, because the mean of its divisors is an integer number (6100110600001).

Almost surely, 212200221200001 is an apocalyptic number.

It is an amenable number.

12200221200001 is a deficient number, since it is larger than the sum of its proper divisors (1).

12200221200001 is an equidigital number, since it uses as much as digits as its factorization.

12200221200001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12200221200001 its reverse (10000212200221), we get a palindrome (22200433400222).

The spelling of 12200221200001 in words is "twelve trillion, two hundred billion, two hundred twenty-one million, two hundred thousand, one".