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12221200249 is a prime number
BaseRepresentation
bin10110110000111000…
…01011011101111001
31011112201100022001021
423120130023131321
5200012111401444
65340410422441
7611565326266
oct133034133571
934481308037
1012221200249
1152016046a5
122450a31a21
1311c9c3264b
1483d15c26d
154b7db6584
hex2d870b779

12221200249 has 2 divisors, whose sum is σ = 12221200250. Its totient is φ = 12221200248.

The previous prime is 12221200219. The next prime is 12221200253. The reversal of 12221200249 is 94200212221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6495554025 + 5725646224 = 80595^2 + 75668^2 .

It is a cyclic number.

It is not a de Polignac number, because 12221200249 - 217 = 12221069177 is a prime.

It is not a weakly prime, because it can be changed into another prime (12221200219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6110600124 + 6110600125.

It is an arithmetic number, because the mean of its divisors is an integer number (6110600125).

Almost surely, 212221200249 is an apocalyptic number.

It is an amenable number.

12221200249 is a deficient number, since it is larger than the sum of its proper divisors (1).

12221200249 is an equidigital number, since it uses as much as digits as its factorization.

12221200249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 25.

The spelling of 12221200249 in words is "twelve billion, two hundred twenty-one million, two hundred thousand, two hundred forty-nine".