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212002111101120 = 2635965272287811
BaseRepresentation
bin110000001101000010010110…
…100001100001100011000000
31000210122012111122010012200020
4300031002112201201203000
5210241420310420213440
62030520231511453440
762440434642361014
oct6015022641414300
91023565448105606
10212002111101120
116160665491871a
121b93b51a087280
13913a937155412
143a4cd57b3c544
1519799dc4bb3d0
hexc0d0968618c0

212002111101120 has 112 divisors (see below), whose sum is σ = 673113970211328. Its totient is φ = 56533285903360.

The previous prime is 212002111100987. The next prime is 212002111101161. The reversal of 212002111101120 is 21101111200212.

It is a happy number.

It is a super-2 number, since 2×2120021111011202 (a number of 29 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 212002111101120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91522015 + ... + 93809825.

Almost surely, 2212002111101120 is an apocalyptic number.

212002111101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212002111101120 is an abundant number, since it is smaller than the sum of its proper divisors (461111859110208).

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

212002111101120 is a wasteful number, since it uses less digits than its factorization.

212002111101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2384358 (or 2384348 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 212002111101120 its reverse (21101111200212), we get a palindrome (233103222301332).

The spelling of 212002111101120 in words is "two hundred twelve trillion, two billion, one hundred eleven million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 96527 193054 289581 386108 482635 579162 772216 965270 1158324 1447905 1544432 1930540 2287811 2316648 2895810 3088864 3861080 4575622 4633296 5791620 6177728 6863433 7722160 9151244 9266592 11439055 11583240 13726866 15444320 18302488 18533184 22878110 23166480 27453732 30888640 34317165 36604976 45756220 46332960 54907464 68634330 73209952 91512440 92665920 109814928 137268660 146419904 183024880 219629856 274537320 366049760 439259712 549074640 732099520 1098149280 2196298560 220835532397 441671064794 662506597191 883342129588 1104177661985 1325013194382 1766684259176 2208355323970 2650026388764 3312532985955 3533368518352 4416710647940 5300052777528 6625065971910 7066737036704 8833421295880 10600105555056 13250131943820 14133474073408 17666842591760 21200211110112 26500263887640 35333685183520 42400422220224 53000527775280 70667370367040 106001055550560 212002111101120