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12122202112021 is a prime number
BaseRepresentation
bin1011000001100110101110…
…0011010000000000010101
31120220212112002220121002101
42300121223203100000111
53042102232220041041
641440510205242101
72360541316561411
oct260315343200025
946825462817071
1012122202112021
113953aa7081311
121439444b63331
1369c170b97a01
142dca09591d41
151604d63adb31
hexb066b8d0015

12122202112021 has 2 divisors, whose sum is σ = 12122202112022. Its totient is φ = 12122202112020.

The previous prime is 12122202112001. The next prime is 12122202112039. The reversal of 12122202112021 is 12021120222121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12107518731396 + 14683380625 = 3479586^2 + 121175^2 .

It is a cyclic number.

It is not a de Polignac number, because 12122202112021 - 225 = 12122168557589 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12122202112021.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12122202112001) 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, 6061101056010 + 6061101056011.

It is an arithmetic number, because the mean of its divisors is an integer number (6061101056011).

Almost surely, 212122202112021 is an apocalyptic number.

It is an amenable number.

12122202112021 is a deficient number, since it is larger than the sum of its proper divisors (1).

12122202112021 is an equidigital number, since it uses as much as digits as its factorization.

12122202112021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 12122202112021 its reverse (12021120222121), we get a palindrome (24143322334142).

The spelling of 12122202112021 in words is "twelve trillion, one hundred twenty-two billion, two hundred two million, one hundred twelve thousand, twenty-one".