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12002211212220 = 22325313389634681
BaseRepresentation
bin1010111010100111101110…
…0010010010101110111100
31120111101210201212022201100
42232221323202102232330
53033121012032242340
641305423440013100
72346062661010245
oct256517342225674
946441721768640
1012002211212220
113908122372319
12141a138301190
13690a5a848798
142d6ca5537ccc
1515c312104830
hexaea7b892bbc

12002211212220 has 144 divisors (see below), whose sum is σ = 37592265634560. Its totient is φ = 3096426009600.

The previous prime is 12002211212209. The next prime is 12002211212227. The reversal of 12002211212220 is 2221211220021.

It is a happy number.

12002211212220 is a `hidden beast` number, since 1 + 20 + 0 + 2 + 211 + 212 + 220 = 666.

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 = 12002211212193 and 12002211212202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002211212227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18593280 + ... + 19227960.

It is an arithmetic number, because the mean of its divisors is an integer number (261057400240).

Almost surely, 212002211212220 is an apocalyptic number.

12002211212220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12002211212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18796132817280).

12002211212220 is an abundant number, since it is smaller than the sum of its proper divisors (25590054422340).

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

12002211212220 is a wasteful number, since it uses less digits than its factorization.

12002211212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638116 (or 638111 counting only the distinct ones).

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

Adding to 12002211212220 its reverse (2221211220021), we get a palindrome (14223422432241).

The spelling of 12002211212220 in words is "twelve trillion, two billion, two hundred eleven million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 3389 5580 6778 10167 13556 16945 20334 30501 33890 40668 50835 61002 67780 101670 105059 122004 152505 203340 210118 305010 315177 420236 525295 610020 630354 634681 945531 1050590 1260708 1269362 1575885 1891062 1904043 2101180 2538724 3151770 3173405 3782124 3808086 4727655 5712129 6303540 6346810 7616172 9455310 9520215 11424258 12693620 18910620 19040430 19675111 22848516 28560645 38080860 39350222 57121290 59025333 78700444 98375555 114242580 118050666 177075999 196751110 236101332 295126665 354151998 393502220 590253330 708303996 885379995 1180506660 1770759990 2150933909 3541519980 4301867818 6452801727 8603735636 10754669545 12905603454 19358405181 21509339090 25811206908 32264008635 38716810362 43018678180 64528017270 66678951179 77433620724 96792025905 129056034540 133357902358 193584051810 200036853537 266715804716 333394755895 387168103620 400073707074 600110560611 666789511790 800147414148 1000184267685 1200221121222 1333579023580 2000368535370 2400442242444 3000552803055 4000737070740 6001105606110 12002211212220