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12201122200093 is a prime number
BaseRepresentation
bin1011000110001100101110…
…0011011111101000011101
31121012102020011222110102021
42301203023203133220131
53044400344240400333
641541041304500141
72366334116343631
oct261431343375035
947172204873367
1012201122200093
1139845154435a2
1214507ab17a651
136a673a363388
14302774b3adc1
151625a4b6382d
hexb18cb8dfa1d

12201122200093 has 2 divisors, whose sum is σ = 12201122200094. Its totient is φ = 12201122200092.

The previous prime is 12201122200079. The next prime is 12201122200129. The reversal of 12201122200093 is 39000222110221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12076090654489 + 125031545604 = 3475067^2 + 353598^2 .

It is a cyclic number.

It is not a de Polignac number, because 12201122200093 - 225 = 12201088645661 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12201122200793) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6100561100046 + 6100561100047.

It is an arithmetic number, because the mean of its divisors is an integer number (6100561100047).

Almost surely, 212201122200093 is an apocalyptic number.

It is an amenable number.

12201122200093 is a deficient number, since it is larger than the sum of its proper divisors (1).

12201122200093 is an equidigital number, since it uses as much as digits as its factorization.

12201122200093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 25.

The spelling of 12201122200093 in words is "twelve trillion, two hundred one billion, one hundred twenty-two million, two hundred thousand, ninety-three".