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12122221301 is a prime number
BaseRepresentation
bin10110100101000101…
…00110101011110101
31011021211002122110022
423102202212223311
5144311242040201
65322513134525
7606254116031
oct132242465365
934254078408
1012122221301
115160750313
12242385a445
1311b2588818
1482dd551c1
154ae36441b
hex2d28a6af5

12122221301 has 2 divisors, whose sum is σ = 12122221302. Its totient is φ = 12122221300.

The previous prime is 12122221283. The next prime is 12122221303. The reversal of 12122221301 is 10312222121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8726362225 + 3395859076 = 93415^2 + 58274^2 .

It is a cyclic number.

It is not a de Polignac number, because 12122221301 - 214 = 12122204917 is a prime.

Together with 12122221303, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12122221301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12122221303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6061110650 + 6061110651.

It is an arithmetic number, because the mean of its divisors is an integer number (6061110651).

Almost surely, 212122221301 is an apocalyptic number.

It is an amenable number.

12122221301 is a deficient number, since it is larger than the sum of its proper divisors (1).

12122221301 is an equidigital number, since it uses as much as digits as its factorization.

12122221301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 12122221301 its reverse (10312222121), we get a palindrome (22434443422).

The spelling of 12122221301 in words is "twelve billion, one hundred twenty-two million, two hundred twenty-one thousand, three hundred one".