Search a number
-
+
12122300211 = 371773465151
BaseRepresentation
bin10110100101000101…
…11001111100110011
31011021211020122200220
423102202321330303
5144311302101321
65322514544123
7606254565060
oct132242717463
934254218626
1012122300211
1151607a462a
122423898043
1311b25b5708
1482dd75c67
154ae37c9c6
hex2d28b9f33

12122300211 has 32 divisors (see below), whose sum is σ = 19826638848. Its totient is φ = 6430233600.

The previous prime is 12122300161. The next prime is 12122300251. The reversal of 12122300211 is 11200322121.

It is not a de Polignac number, because 12122300211 - 210 = 12122299187 is a prime.

It is a super-2 number, since 2×121223002112 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12122300251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206515 + ... + 258636.

It is an arithmetic number, because the mean of its divisors is an integer number (619582464).

Almost surely, 212122300211 is an apocalyptic number.

12122300211 is a deficient number, since it is larger than the sum of its proper divisors (7704338637).

12122300211 is a wasteful number, since it uses less digits than its factorization.

12122300211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465251.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12122300211 its reverse (11200322121), we get a palindrome (23322622332).

The spelling of 12122300211 in words is "twelve billion, one hundred twenty-two million, three hundred thousand, two hundred eleven".

Divisors: 1 3 7 17 21 51 73 119 219 357 511 1241 1533 3723 8687 26061 465151 1395453 3256057 7907567 9768171 23722701 33956023 55352969 101868069 166058907 237692161 577252391 713076483 1731757173 4040766737 12122300211