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12122271259 = 72345771563
BaseRepresentation
bin10110100101000101…
…10010111000011011
31011021211012011222121
423102202302320123
5144311300140014
65322514202111
7606254414500
oct132242627033
934254164877
1012122271259
1151607848aa
122423883337
1311b25a5497
1482dd694a7
154ae374124
hex2d28b2e1b

12122271259 has 12 divisors (see below), whose sum is σ = 14105693784. Its totient is φ = 10387367424.

The previous prime is 12122271241. The next prime is 12122271289. The reversal of 12122271259 is 95217222121.

12122271259 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-12122271259 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12122271289) 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, 133612 + ... + 205174.

It is an arithmetic number, because the mean of its divisors is an integer number (1175474482).

Almost surely, 212122271259 is an apocalyptic number.

12122271259 is a deficient number, since it is larger than the sum of its proper divisors (1983422525).

12122271259 is an equidigital number, since it uses as much as digits as its factorization.

12122271259 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75034 (or 75027 counting only the distinct ones).

The product of its digits is 10080, while the sum is 34.

The spelling of 12122271259 in words is "twelve billion, one hundred twenty-two million, two hundred seventy-one thousand, two hundred fifty-nine".

Divisors: 1 7 49 3457 24199 71563 169393 500941 3506587 247393291 1731753037 12122271259