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12102020111100 = 223521917911861237
BaseRepresentation
bin1011000000011011100010…
…0111000001101011111100
31120211221102120220201111210
42300012320213001223330
53041234414122023400
641423331415044420
72356225224443523
oct260067047015374
946757376821453
1012102020111100
11394648a943307
121435552070710
1369a2a589852a
142dba530514ba
1515ec04691950
hexb01b89c1afc

12102020111100 has 144 divisors (see below), whose sum is σ = 37063996502400. Its totient is φ = 3040272011520.

The previous prime is 12102020111087. The next prime is 12102020111161. The reversal of 12102020111100 is 111102020121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4910319 + ... + 6950918.

It is an arithmetic number, because the mean of its divisors is an integer number (257388864600).

Almost surely, 212102020111100 is an apocalyptic number.

12102020111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102020111100 is an abundant number, since it is smaller than the sum of its proper divisors (24961976391300).

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

12102020111100 is a wasteful number, since it uses less digits than its factorization.

12102020111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11861452 (or 11861445 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12102020111100 its reverse (111102020121), we get a palindrome (12213122131221).

The spelling of 12102020111100 in words is "twelve trillion, one hundred two billion, twenty million, one hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 179 190 228 285 300 358 380 475 537 570 716 895 950 1074 1140 1425 1790 1900 2148 2685 2850 3401 3580 4475 5370 5700 6802 8950 10203 10740 13425 13604 17005 17900 20406 26850 34010 40812 51015 53700 68020 85025 102030 170050 204060 255075 340100 510150 1020300 11861237 23722474 35583711 47444948 59306185 71167422 118612370 142334844 177918555 225363503 237224740 296530925 355837110 450727006 593061850 676090509 711674220 889592775 901454012 1126817515 1186123700 1352181018 1779185550 2123161423 2253635030 2704362036 3380452545 3558371100 4246322846 4507270060 5634087575 6369484269 6760905090 8492645692 10615807115 11268175150 12738968538 13521810180 16902262725 21231614230 22536350300 25477937076 31847421345 33804525450 40340067037 42463228460 53079035575 63694842690 67609050900 80680134074 106158071150 121020201111 127389685380 159237106725 161360268148 201700335185 212316142300 242040402222 318474213450 403400670370 484080804444 605101005555 636948426900 806801340740 1008501675925 1210202011110 2017003351850 2420404022220 3025505027775 4034006703700 6051010055550 12102020111100