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12212211101201 is a prime number
BaseRepresentation
bin1011000110110110000010…
…0000010010111000010001
31121020110211222201000001022
42301231200200102320101
53100041102020214301
641550113510245225
72400205655424446
oct261554040227021
947213758630038
1012212211101201
113989195882081
121452984956815
136a77b6816717
1430310774d9cd
15162a03413d1b
hexb1b60812e11

12212211101201 has 2 divisors, whose sum is σ = 12212211101202. Its totient is φ = 12212211101200.

The previous prime is 12212211101177. The next prime is 12212211101239. The reversal of 12212211101201 is 10210111221221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10505059804801 + 1707151296400 = 3241151^2 + 1306580^2 .

It is a cyclic number.

It is not a de Polignac number, because 12212211101201 - 214 = 12212211084817 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12212211101201.

It is not a weakly prime, because it can be changed into another prime (12212211101291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6106105550600 + 6106105550601.

It is an arithmetic number, because the mean of its divisors is an integer number (6106105550601).

Almost surely, 212212211101201 is an apocalyptic number.

It is an amenable number.

12212211101201 is a deficient number, since it is larger than the sum of its proper divisors (1).

12212211101201 is an equidigital number, since it uses as much as digits as its factorization.

12212211101201 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 17.

Adding to 12212211101201 its reverse (10210111221221), we get a palindrome (22422322322422).

The spelling of 12212211101201 in words is "twelve trillion, two hundred twelve billion, two hundred eleven million, one hundred one thousand, two hundred one".