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12122102110020 = 22357219920719417
BaseRepresentation
bin1011000001100110010110…
…0101110001011101000100
31120220212021010201222010120
42300121211211301131010
53042102031120010040
641440452234021540
72360535663560400
oct260314545613504
946825233658116
1012122102110020
113953a55689331
1214394175778b0
1369c156253326
142dc9da1a0100
151604cc7087d0
hexb0665971744

12122102110020 has 144 divisors (see below), whose sum is σ = 39681829353600. Its totient is φ = 2756842615296.

The previous prime is 12122102109919. The next prime is 12122102110031. The reversal of 12122102110020 is 2001120122121.

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

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, 9774649 + ... + 10944768.

It is an arithmetic number, because the mean of its divisors is an integer number (275568259400).

Almost surely, 212122102110020 is an apocalyptic number.

12122102110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122102110020 is an abundant number, since it is smaller than the sum of its proper divisors (27559727243580).

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

12122102110020 is a wasteful number, since it uses less digits than its factorization.

12122102110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20719642 (or 20719633 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12122102110020 its reverse (2001120122121), we get a palindrome (14123222232141).

The spelling of 12122102110020 in words is "twelve trillion, one hundred twenty-two billion, one hundred two million, one hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 199 210 245 294 398 420 490 588 597 735 796 980 995 1194 1393 1470 1990 2388 2786 2940 2985 3980 4179 5572 5970 6965 8358 9751 11940 13930 16716 19502 20895 27860 29253 39004 41790 48755 58506 83580 97510 117012 146265 195020 292530 585060 20719417 41438834 62158251 82877668 103597085 124316502 145035919 207194170 248633004 290071838 310791255 414388340 435107757 580143676 621582510 725179595 870215514 1015251433 1243165020 1450359190 1740431028 2030502866 2175538785 2900718380 3045754299 4061005732 4123163983 4351077570 5076257165 6091508598 8246327966 8702155140 10152514330 12183017196 12369491949 15228771495 16492655932 20305028660 20615819915 24738983898 28862147881 30457542990 41231639830 49477967796 57724295762 60915085980 61847459745 82463279660 86586443643 115448591524 123694919490 144310739405 173172887286 202035035167 247389838980 288621478810 346345774572 404070070334 432932218215 577242957620 606105105501 808140140668 865864436430 1010175175835 1212210211002 1731728872860 2020350351670 2424420422004 3030525527505 4040700703340 6061051055010 12122102110020