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12211131322189 is a prime number
BaseRepresentation
bin1011000110110010000000…
…1001010000111101001101
31121020101001201220112201001
42301230200021100331031
53100031344104302224
641545414415020301
72400140134440622
oct261544011207515
947211051815631
1012211131322189
113988791319128
12145272320a691
136a7673bc5927
14303044196349
1516298d724544
hexb1b20250f4d

12211131322189 has 2 divisors, whose sum is σ = 12211131322190. Its totient is φ = 12211131322188.

The previous prime is 12211131322147. The next prime is 12211131322231. The reversal of 12211131322189 is 98122313111221.

It is a balanced prime because it is at equal distance from previous prime (12211131322147) and next prime (12211131322231).

It can be written as a sum of positive squares in only one way, i.e., 12204367575625 + 6763746564 = 3493475^2 + 82242^2 .

It is a cyclic number.

It is not a de Polignac number, because 12211131322189 - 215 = 12211131289421 is a prime.

It is a super-2 number, since 2×122111313221892 (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 (12211135322189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6105565661094 + 6105565661095.

It is an arithmetic number, because the mean of its divisors is an integer number (6105565661095).

Almost surely, 212211131322189 is an apocalyptic number.

It is an amenable number.

12211131322189 is a deficient number, since it is larger than the sum of its proper divisors (1).

12211131322189 is an equidigital number, since it uses as much as digits as its factorization.

12211131322189 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10368, while the sum is 37.

The spelling of 12211131322189 in words is "twelve trillion, two hundred eleven billion, one hundred thirty-one million, three hundred twenty-two thousand, one hundred eighty-nine".