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12288000077 is a prime number
BaseRepresentation
bin10110111000110110…
…00000000001001101
31011201101001002011222
423130123000001031
5200131212000302
65351154253125
7613336164053
oct133433000115
934641032158
1012288000077
11523628a371
12246b2871a5
13120aa20682
14847d8a1d3
154bdbadda2
hex2dc6c004d

12288000077 has 2 divisors, whose sum is σ = 12288000078. Its totient is φ = 12288000076.

The previous prime is 12287999957. The next prime is 12288000119. The reversal of 12288000077 is 77000088221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10690319236 + 1597680841 = 103394^2 + 39971^2 .

It is a cyclic number.

It is not a de Polignac number, because 12288000077 - 222 = 12283805773 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12288000377) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6144000038 + 6144000039.

It is an arithmetic number, because the mean of its divisors is an integer number (6144000039).

Almost surely, 212288000077 is an apocalyptic number.

It is an amenable number.

12288000077 is a deficient number, since it is larger than the sum of its proper divisors (1).

12288000077 is an equidigital number, since it uses as much as digits as its factorization.

12288000077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12544, while the sum is 35.

Adding to 12288000077 its reverse (77000088221), we get a palindrome (89288088298).

The spelling of 12288000077 in words is "twelve billion, two hundred eighty-eight million, seventy-seven", and thus it is an aban number.