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12201022212829 is a prime number
BaseRepresentation
bin1011000110001100010110…
…0110000100101011011101
31121012101222012211120200021
42301203011212010223131
53044400143141302304
641541023333432141
72366331463433602
oct261430546045335
947171865746607
1012201022212829
113984473a6069a
12145078179b651
136a6722725608
143027657506a9
1516259aeb2a54
hexb18c5984add

12201022212829 has 2 divisors, whose sum is σ = 12201022212830. Its totient is φ = 12201022212828.

The previous prime is 12201022212823. The next prime is 12201022212913. The reversal of 12201022212829 is 92821222010221.

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., 12157760292804 + 43261920025 = 3486798^2 + 207995^2 .

It is a cyclic number.

It is not a de Polignac number, because 12201022212829 - 211 = 12201022210781 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12201022212794 and 12201022212803.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12201022212823) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6100511106414 + 6100511106415.

It is an arithmetic number, because the mean of its divisors is an integer number (6100511106415).

Almost surely, 212201022212829 is an apocalyptic number.

It is an amenable number.

12201022212829 is a deficient number, since it is larger than the sum of its proper divisors (1).

12201022212829 is an equidigital number, since it uses as much as digits as its factorization.

12201022212829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 34.

The spelling of 12201022212829 in words is "twelve trillion, two hundred one billion, twenty-two million, two hundred twelve thousand, eight hundred twenty-nine".