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12121000101120 = 28355953500177
BaseRepresentation
bin1011000001100010001111…
…1001111100010100000000
31120220202102100010010010010
42300120203321330110000
53042042302011213440
641440151030104520
72360466452626431
oct260304371742400
946822370103103
1012121000101120
11395353a621779
12143916a4ab140
1369c00bb4b161
142dc933a9b488
15160465ac7580
hexb0623e7c500

12121000101120 has 144 divisors (see below), whose sum is σ = 39367570979520. Its totient is φ = 3177482452992.

The previous prime is 12121000101109. The next prime is 12121000101149. The reversal of 12121000101120 is 2110100012121.

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

It is a junction number, because it is equal to n+sod(n) for n = 12121000101096 and 12121000101105.

It is a congruent number.

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, 26523529 + ... + 26976648.

It is an arithmetic number, because the mean of its divisors is an integer number (273385909580).

Almost surely, 212121000101120 is an apocalyptic number.

12121000101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12121000101120 is an abundant number, since it is smaller than the sum of its proper divisors (27246570878400).

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

12121000101120 is an equidigital number, since it uses as much as digits as its factorization.

12121000101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53500260 (or 53500246 counting only the distinct ones).

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

Adding to 12121000101120 its reverse (2110100012121), we get a palindrome (14231100113241).

The spelling of 12121000101120 in words is "twelve trillion, one hundred twenty-one billion, 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 59 60 64 80 96 118 120 128 160 177 192 236 240 256 295 320 354 384 472 480 590 640 708 768 885 944 960 1180 1280 1416 1770 1888 1920 2360 2832 3540 3776 3840 4720 5664 7080 7552 9440 11328 14160 15104 18880 22656 28320 37760 45312 56640 75520 113280 226560 53500177 107000354 160500531 214000708 267500885 321001062 428001416 535001770 642002124 802502655 856002832 1070003540 1284004248 1605005310 1712005664 2140007080 2568008496 3156510443 3210010620 3424011328 4280014160 5136016992 6313020886 6420021240 6848022656 8560028320 9469531329 10272033984 12626041772 12840042480 13696045312 15782552215 17120056640 18939062658 20544067968 25252083544 25680084960 31565104430 34240113280 37878125316 41088135936 47347656645 50504167088 51360169920 63130208860 68480226560 75756250632 94695313290 101008334176 102720339840 126260417720 151512501264 189390626580 202016668352 205440679680 252520835440 303025002528 378781253160 404033336704 505041670880 606050005056 757562506320 808066673408 1010083341760 1212100010112 1515125012640 2020166683520 2424200020224 3030250025280 4040333367040 6060500050560 12121000101120