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12221011011197 is a prime number
BaseRepresentation
bin1011000111010110110100…
…0001010010011001111101
31121021022120021021202011202
42301311231001102121331
53100212112304324242
641554131023025245
72400640021424642
oct261655501223175
947238507252152
1012221011011197
1139919a112976a
12145461ba3b225
136a85899aa761
1430370035bdc9
15162d6ac69932
hexb1d6d05267d

12221011011197 has 2 divisors, whose sum is σ = 12221011011198. Its totient is φ = 12221011011196.

The previous prime is 12221011011191. The next prime is 12221011011211. The reversal of 12221011011197 is 79111011012221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8507319726361 + 3713691284836 = 2916731^2 + 1927094^2 .

It is an emirp because it is prime and its reverse (79111011012221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12221011011197 - 238 = 11946133104253 is a prime.

It is a super-2 number, since 2×122210110111972 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12221011011191) 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, 6110505505598 + 6110505505599.

It is an arithmetic number, because the mean of its divisors is an integer number (6110505505599).

Almost surely, 212221011011197 is an apocalyptic number.

It is an amenable number.

12221011011197 is a deficient number, since it is larger than the sum of its proper divisors (1).

12221011011197 is an equidigital number, since it uses as much as digits as its factorization.

12221011011197 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 29.

The spelling of 12221011011197 in words is "twelve trillion, two hundred twenty-one billion, eleven million, eleven thousand, one hundred ninety-seven".