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12011320220100 = 22352198720149841
BaseRepresentation
bin1010111011001001101001…
…1110011001100111000100
31120112021022120001212102120
42232302122132121213010
53033243140434020400
641313531353405540
72346534466211445
oct256623236314704
946467276055376
1012011320220100
113910a77147803
12141ba5aa098b0
1369187ca74686
142d74cb2072cc
1515c696b64ca0
hexaec9a7999c4

12011320220100 has 72 divisors (see below), whose sum is σ = 34770244957728. Its totient is φ = 3201406579200.

The previous prime is 12011320220083. The next prime is 12011320220111. The reversal of 12011320220100 is 102202311021.

It is a super-2 number, since 2×120113202201002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12011320220100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9478821 + ... + 10671020.

Almost surely, 212011320220100 is an apocalyptic number.

12011320220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011320220100 is an abundant number, since it is smaller than the sum of its proper divisors (22758924737628).

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

12011320220100 is a wasteful number, since it uses less digits than its factorization.

12011320220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20151845 (or 20151838 counting only the distinct ones).

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

Adding to 12011320220100 its reverse (102202311021), we get a palindrome (12113522531121).

The spelling of 12011320220100 in words is "twelve trillion, eleven billion, three hundred twenty million, two hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1987 3974 5961 7948 9935 11922 19870 23844 29805 39740 49675 59610 99350 119220 149025 198700 298050 596100 20149841 40299682 60449523 80599364 100749205 120899046 201498410 241798092 302247615 402996820 503746025 604495230 1007492050 1208990460 1511238075 2014984100 3022476150 6044952300 40037734067 80075468134 120113202201 160150936268 200188670335 240226404402 400377340670 480452808804 600566011005 800754681340 1000943351675 1201132022010 2001886703350 2402264044020 3002830055025 4003773406700 6005660110050 12011320220100