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12120628133 is a prime number
BaseRepresentation
bin10110100100111001…
…00001101110100101
31011021201002201001002
423102130201232211
5144310340100013
65322415043045
7606234432155
oct132234415645
934251081032
1012120628133
11515a862349
122423210485
1311b214b613
1482da5c765
154ae14c358
hex2d2721ba5

12120628133 has 2 divisors, whose sum is σ = 12120628134. Its totient is φ = 12120628132.

The previous prime is 12120628123. The next prime is 12120628147. The reversal of 12120628133 is 33182602121.

It is a happy number.

12120628133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10704385444 + 1416242689 = 103462^2 + 37633^2 .

It is a cyclic number.

It is not a de Polignac number, because 12120628133 - 214 = 12120611749 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12120628096 and 12120628105.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12120628123) 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, 6060314066 + 6060314067.

It is an arithmetic number, because the mean of its divisors is an integer number (6060314067).

Almost surely, 212120628133 is an apocalyptic number.

It is an amenable number.

12120628133 is a deficient number, since it is larger than the sum of its proper divisors (1).

12120628133 is an equidigital number, since it uses as much as digits as its factorization.

12120628133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 29.

The spelling of 12120628133 in words is "twelve billion, one hundred twenty million, six hundred twenty-eight thousand, one hundred thirty-three".