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12212112211121 is a prime number
BaseRepresentation
bin1011000110110101101010…
…0111000011110010110001
31121020110121002121212100202
42301231122213003302301
53100040401211223441
641550100014524545
72400203345034254
oct261553247036261
947213532555322
1012212112211121
113989144a79539
121452957806755
136a779c1a1194
143030d856b09b
151629e98cd19b
hexb1b5a9c3cb1

12212112211121 has 2 divisors, whose sum is σ = 12212112211122. Its totient is φ = 12212112211120.

The previous prime is 12212112211111. The next prime is 12212112211147. The reversal of 12212112211121 is 12111221121221.

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., 11895187123600 + 316925087521 = 3448940^2 + 562961^2 .

It is a cyclic number.

It is not a de Polignac number, because 12212112211121 - 218 = 12212111948977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12212112211093 and 12212112211102.

It is not a weakly prime, because it can be changed into another prime (12212112211111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6106056105560 + 6106056105561.

It is an arithmetic number, because the mean of its divisors is an integer number (6106056105561).

Almost surely, 212212112211121 is an apocalyptic number.

It is an amenable number.

12212112211121 is a deficient number, since it is larger than the sum of its proper divisors (1).

12212112211121 is an equidigital number, since it uses as much as digits as its factorization.

12212112211121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 64, while the sum is 20.

Adding to 12212112211121 its reverse (12111221121221), we get a palindrome (24323333332342).

The spelling of 12212112211121 in words is "twelve trillion, two hundred twelve billion, one hundred twelve million, two hundred eleven thousand, one hundred twenty-one".