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12002121221220 = 223251317301712449
BaseRepresentation
bin1010111010100111011000…
…1011000000010001100100
31120111101120110112022021100
42232221312023000101210
53033120321013034340
641305410503120100
72346060516052644
oct256516613002144
946441513468240
1012002121221220
113908086597799
12141a112143030
13690a44cca980
142d6c975d0524
1515c30927a830
hexaea762c0464

12002121221220 has 144 divisors (see below), whose sum is σ = 41513219420400. Its totient is φ = 2780581920768.

The previous prime is 12002121221179. The next prime is 12002121221239. The reversal of 12002121221220 is 2212212120021.

It is a happy number.

12002121221220 is a `hidden beast` number, since 1 + 200 + 2 + 1 + 21 + 221 + 220 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 790164543744 + 11211956677476 = 888912^2 + 3348426^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12002121221193 and 12002121221202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150816445 + ... + 150896004.

It is an arithmetic number, because the mean of its divisors is an integer number (288286245975).

Almost surely, 212002121221220 is an apocalyptic number.

12002121221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002121221220 is an abundant number, since it is smaller than the sum of its proper divisors (29511098199180).

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

12002121221220 is a wasteful number, since it uses less digits than its factorization.

12002121221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301712494 (or 301712489 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12002121221220 its reverse (2212212120021), we get a palindrome (14214333341241).

The spelling of 12002121221220 in words is "twelve trillion, two billion, one hundred twenty-one million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 17 18 20 26 30 34 36 39 45 51 52 60 65 68 78 85 90 102 117 130 153 156 170 180 195 204 221 234 255 260 306 340 390 442 468 510 585 612 663 765 780 884 1020 1105 1170 1326 1530 1989 2210 2340 2652 3060 3315 3978 4420 6630 7956 9945 13260 19890 39780 301712449 603424898 905137347 1206849796 1508562245 1810274694 2715412041 3017124490 3620549388 3922261837 4525686735 5129111633 5430824082 6034248980 7844523674 9051373470 10258223266 10861648164 11766785511 13577060205 15387334899 15689047348 18102746940 19611309185 20516446532 23533571022 25645558165 27154120410 30774669798 35300356533 39222618370 46162004697 47067142044 51291116330 54308240820 58833927555 61549339596 66678451229 70600713066 76936674495 78445236740 92324009394 102582232660 117667855110 133356902458 141201426132 153873348990 176501782665 184648018788 200035353687 230810023485 235335710220 266713804916 307746697980 333392256145 353003565330 400070707374 461620046970 600106061061 666784512290 706007130660 800141414748 923240093940 1000176768435 1200212122122 1333569024580 2000353536870 2400424244244 3000530305305 4000707073740 6001060610610 12002121221220