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12211210012229 is a prime number
BaseRepresentation
bin1011000110110010010011…
…0101011100011001000101
31121020101021012222102010222
42301230210311130121011
53100032024230342404
641545430305354125
72400142111336634
oct261544465343105
947211235872128
1012211210012229
113988821785118
121452745638945
136a76872b7997
143030507db51b
151629955b9dbe
hexb1b24d5c645

12211210012229 has 2 divisors, whose sum is σ = 12211210012230. Its totient is φ = 12211210012228.

The previous prime is 12211210012109. The next prime is 12211210012241. The reversal of 12211210012229 is 92221001211221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11705259477025 + 505950535204 = 3421295^2 + 711302^2 .

It is a cyclic number.

It is not a de Polignac number, because 12211210012229 - 236 = 12142490535493 is a prime.

It is a super-2 number, since 2×122112100122292 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12211210012198 and 12211210012207.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12211210011229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6105605006114 + 6105605006115.

It is an arithmetic number, because the mean of its divisors is an integer number (6105605006115).

Almost surely, 212211210012229 is an apocalyptic number.

It is an amenable number.

12211210012229 is a deficient number, since it is larger than the sum of its proper divisors (1).

12211210012229 is an equidigital number, since it uses as much as digits as its factorization.

12211210012229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 26.

The spelling of 12211210012229 in words is "twelve trillion, two hundred eleven billion, two hundred ten million, twelve thousand, two hundred twenty-nine".