Search a number
-
+
12211122321 = 32173714391499
BaseRepresentation
bin10110101111101011…
…01111000010010001
31011112000101021201200
423113311233002101
5200002021403241
65335410421413
7611413553466
oct132765570221
934460337650
1012211122321
1151a6950a32
122449591869
1311c7b14488
1483ba9766d
154b70754b6
hex2d7d6f091

12211122321 has 48 divisors (see below), whose sum is σ = 19206720000. Its totient is φ = 7444652544.

The previous prime is 12211122317. The next prime is 12211122347. The reversal of 12211122321 is 12322111221.

12211122321 is a `hidden beast` number, since 1 + 221 + 1 + 122 + 321 = 666.

It is not a de Polignac number, because 12211122321 - 22 = 12211122317 is a prime.

It is a super-2 number, since 2×122111223212 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12211122294 and 12211122303.

It is not an unprimeable number, because it can be changed into a prime (12211122361) 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 47 ways as a sum of consecutive naturals, for example, 8145430 + ... + 8146928.

It is an arithmetic number, because the mean of its divisors is an integer number (400140000).

Almost surely, 212211122321 is an apocalyptic number.

It is an amenable number.

12211122321 is a deficient number, since it is larger than the sum of its proper divisors (6995597679).

12211122321 is a wasteful number, since it uses less digits than its factorization.

12211122321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2998 (or 2995 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

Adding to 12211122321 its reverse (12322111221), we get a palindrome (24533233542).

The spelling of 12211122321 in words is "twelve billion, two hundred eleven million, one hundred twenty-two thousand, three hundred twenty-one".

Divisors: 1 3 9 17 37 51 111 153 333 629 1439 1499 1887 4317 4497 5661 12951 13491 24463 25483 53243 55463 73389 76449 159729 166389 220167 229347 479187 499167 905131 942871 2157061 2715393 2828613 6471183 8146179 8485839 19413549 36670037 79811257 110010111 239433771 330030333 718301313 1356791369 4070374107 12211122321