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12011102102200 = 23521873239313399
BaseRepresentation
bin1010111011001000110101…
…1110010110001010111000
31120112020202100122022220211
42232302031132112022320
53033242214114232300
641313454002400504
72346526210224265
oct256621536261270
946466670568824
1012011102102200
11391097500a583
12141b9b9960134
13691846815826
142d74aa26a26c
1515c68292c4ba
hexaec8d7962b8

12011102102200 has 96 divisors (see below), whose sum is σ = 27954484236000. Its totient is φ = 4799510876160.

The previous prime is 12011102102179. The next prime is 12011102102261. The reversal of 12011102102200 is 220120111021.

It is a congruent number.

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, 896411101 + ... + 896424499.

It is an arithmetic number, because the mean of its divisors is an integer number (291192544125).

Almost surely, 212011102102200 is an apocalyptic number.

12011102102200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011102102200 is an abundant number, since it is smaller than the sum of its proper divisors (15943382133800).

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

12011102102200 is a wasteful number, since it uses less digits than its factorization.

12011102102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17681 (or 17672 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12011102102200 its reverse (220120111021), we get a palindrome (12231222213221).

The spelling of 12011102102200 in words is "twelve trillion, eleven billion, one hundred two million, one hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1873 2393 3746 4786 7492 9365 9572 11965 13399 14984 18730 19144 23930 26798 37460 46825 47860 53596 59825 66995 74920 93650 95720 107192 119650 133990 187300 239300 267980 334975 374600 478600 535960 669950 1339900 2679800 4482089 8964178 17928356 22410445 25096327 32063807 35856712 44820890 50192654 64127614 89641780 100385308 112052225 125481635 128255228 160319035 179283560 200770616 224104450 250963270 256510456 320638070 448208900 501926540 627408175 641276140 801595175 896417800 1003853080 1254816350 1282552280 1603190350 2509632700 3206380700 5019265400 6412761400 60055510511 120111021022 240222042044 300277552555 480444084088 600555105110 1201110210220 1501387762775 2402220420440 3002775525550 6005551051100 12011102102200