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12122202401 is a prime number
BaseRepresentation
bin10110100101000101…
…00010000100100001
31011021211001200112022
423102202202010201
5144311240434101
65322512511225
7606254006651
oct132242420441
934254050468
1012122202401
1151607380a1
12242384b515
1311b258003a
1482dd4c361
154ae35da1b
hex2d28a2121

12122202401 has 2 divisors, whose sum is σ = 12122202402. Its totient is φ = 12122202400.

The previous prime is 12122202349. The next prime is 12122202413. The reversal of 12122202401 is 10420222121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6793056400 + 5329146001 = 82420^2 + 73001^2 .

It is a cyclic number.

It is not a de Polignac number, because 12122202401 - 214 = 12122186017 is a prime.

It is a super-3 number, since 3×121222024013 (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12122202401.

It is not a weakly prime, because it can be changed into another prime (12122292401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6061101200 + 6061101201.

It is an arithmetic number, because the mean of its divisors is an integer number (6061101201).

Almost surely, 212122202401 is an apocalyptic number.

It is an amenable number.

12122202401 is a deficient number, since it is larger than the sum of its proper divisors (1).

12122202401 is an equidigital number, since it uses as much as digits as its factorization.

12122202401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 12122202401 its reverse (10420222121), we get a palindrome (22542424522).

The spelling of 12122202401 in words is "twelve billion, one hundred twenty-two million, two hundred two thousand, four hundred one".