Search a number
-
+
12233022120 = 23325113089147
BaseRepresentation
bin10110110010010010…
…10001101010101000
31011120112120220121100
423121021101222220
5200023123201440
65341512041400
7612100654344
oct133111215250
934515526540
1012233022120
115208249640
122454993260
1311cc511537
14840958624
154b8e4e230
hex2d9251aa8

12233022120 has 96 divisors (see below), whose sum is σ = 43371637920. Its totient is φ = 2965580160.

The previous prime is 12233022119. The next prime is 12233022161. The reversal of 12233022120 is 2122033221.

12233022120 is a `hidden beast` number, since 122 + 330 + 2 + 212 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12233022093 and 12233022102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1540614 + ... + 1548533.

It is an arithmetic number, because the mean of its divisors is an integer number (451787895).

Almost surely, 212233022120 is an apocalyptic number.

12233022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12233022120 is an abundant number, since it is smaller than the sum of its proper divisors (31138615800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12233022120 is a wasteful number, since it uses less digits than its factorization.

12233022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3089175 (or 3089168 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12233022120 its reverse (2122033221), we get a palindrome (14355055341).

The spelling of 12233022120 in words is "twelve billion, two hundred thirty-three million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 3089147 6178294 9267441 12356588 15445735 18534882 24713176 27802323 30891470 33980617 37069764 46337205 55604646 61782940 67961234 74139528 92674410 101941851 111209292 123565880 135922468 139011615 169903085 185348820 203883702 222418584 271844936 278023230 305825553 339806170 370697640 407767404 509709255 556046460 611651106 679612340 815534808 1019418510 1112092920 1223302212 1359224680 1529127765 2038837020 2446604424 3058255530 4077674040 6116511060 12233022120