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12303312120 = 23325113106897
BaseRepresentation
bin10110111010101010…
…11010010011111000
31011202102212000100200
423131111122103320
5200144121441440
65352502402200
7613613266431
oct133525322370
934672760320
1012303312120
115243998550
122474430360
131210c52058
1484a014488
154c01d5c30
hex2dd55a4f8

12303312120 has 96 divisors (see below), whose sum is σ = 43620847920. Its totient is φ = 2982620160.

The previous prime is 12303312061. The next prime is 12303312121. The reversal of 12303312120 is 2121330321.

12303312120 is a `hidden beast` number, since 1 + 230 + 3 + 312 + 120 = 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 = 12303312093 and 12303312102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12303312121) 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 23 ways as a sum of consecutive naturals, for example, 1549489 + ... + 1557408.

Almost surely, 212303312120 is an apocalyptic number.

12303312120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12303312120 is an abundant number, since it is smaller than the sum of its proper divisors (31317535800).

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

12303312120 is a wasteful number, since it uses less digits than its factorization.

12303312120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3106925 (or 3106918 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12303312120 its reverse (2121330321), we get a palindrome (14424642441).

It can be divided in two parts, 123033121 and 20, that added together give a triangular number (123033141 = T15686).

The spelling of 12303312120 in words is "twelve billion, three hundred three million, three hundred twelve 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 3106897 6213794 9320691 12427588 15534485 18641382 24855176 27962073 31068970 34175867 37282764 46603455 55924146 62137940 68351734 74565528 93206910 102527601 111848292 124275880 136703468 139810365 170879335 186413820 205055202 223696584 273406936 279620730 307582803 341758670 372827640 410110404 512638005 559241460 615165606 683517340 820220808 1025276010 1118482920 1230331212 1367034680 1537914015 2050552020 2460662424 3075828030 4101104040 6151656060 12303312120