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12122817 = 3719231321
BaseRepresentation
bin101110001111…
…101011000001
3211210220101020
4232033223001
511100412232
61111500053
7205020330
oct56175301
924726336
1012122817
116930063
124087629
132685b85
141877d17
1510e6e2c
hexb8fac1

12122817 has 32 divisors (see below), whose sum is σ = 20305920. Its totient is φ = 6272640.

The previous prime is 12122813. The next prime is 12122821. The reversal of 12122817 is 71822121.

12122817 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12122813) and next prime (12122821).

It is not a de Polignac number, because 12122817 - 22 = 12122813 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12122813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8517 + ... + 9837.

It is an arithmetic number, because the mean of its divisors is an integer number (634560).

Almost surely, 212122817 is an apocalyptic number.

It is an amenable number.

12122817 is a deficient number, since it is larger than the sum of its proper divisors (8183103).

12122817 is a wasteful number, since it uses less digits than its factorization.

12122817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373.

The product of its digits is 448, while the sum is 24.

The square root of 12122817 is about 3481.7835946538. The cubic root of 12122817 is about 229.7212565223.

Adding to 12122817 its reverse (71822121), we get a palindrome (83944938).

The spelling of 12122817 in words is "twelve million, one hundred twenty-two thousand, eight hundred seventeen".

Divisors: 1 3 7 19 21 23 57 69 133 161 399 437 483 1311 1321 3059 3963 9177 9247 25099 27741 30383 75297 91149 175693 212681 527079 577277 638043 1731831 4040939 12122817