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12212012133 = 328209165293
BaseRepresentation
bin10110101111110010…
…01000010001100101
31011112002001111022200
423113321020101211
5200002233342013
65335441445113
7611424250626
oct132771102145
934462044280
1012212012133
1151a73a9512
122449940799
1311c80664a9
1483bc49a4d
154b719de73
hex2d7e48465

12212012133 has 12 divisors (see below), whose sum is σ = 17641828620. Its totient is φ = 8140300416.

The previous prime is 12212012093. The next prime is 12212012147. The reversal of 12212012133 is 33121021221.

12212012133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5223386529 + 6988625604 = 72273^2 + 83598^2 .

It is not a de Polignac number, because 12212012133 - 217 = 12211881061 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212012233) 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 in 11 ways as a sum of consecutive naturals, for example, 8766 + ... + 156527.

It is an arithmetic number, because the mean of its divisors is an integer number (1470152385).

Almost surely, 212212012133 is an apocalyptic number.

It is an amenable number.

12212012133 is a deficient number, since it is larger than the sum of its proper divisors (5429816487).

12212012133 is a wasteful number, since it uses less digits than its factorization.

12212012133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173508 (or 173505 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12212012133 its reverse (33121021221), we get a palindrome (45333033354).

The spelling of 12212012133 in words is "twelve billion, two hundred twelve million, twelve thousand, one hundred thirty-three".

Divisors: 1 3 9 8209 24627 73881 165293 495879 1487637 1356890237 4070670711 12212012133