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12000220002210 = 23511377283134947
BaseRepresentation
bin1010111010100000010011…
…0110011011011110100010
31120111012122222001101002110
42232220010312123132202
53033102422310032320
641304454105300150
72345662432005246
oct256500466333642
946435588041073
1012000220002210
1139072a0389810
121419881494656
1369080115b2cb
142d6b56cca426
1515c2473cb5e0
hexaea04d9b7a2

12000220002210 has 128 divisors (see below), whose sum is σ = 32272583169024. Its totient is φ = 2830109103360.

The previous prime is 12000220002191. The next prime is 12000220002241. The reversal of 12000220002210 is 1220002200021.

12000220002210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 88857957 + ... + 88992903.

It is an arithmetic number, because the mean of its divisors is an integer number (252129556008).

Almost surely, 212000220002210 is an apocalyptic number.

12000220002210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12000220002210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16136291584512).

12000220002210 is an abundant number, since it is smaller than the sum of its proper divisors (20272363166814).

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

12000220002210 is a wasteful number, since it uses less digits than its factorization.

12000220002210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142288.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12000220002210 its reverse (1220002200021), we get a palindrome (13220222202231).

The spelling of 12000220002210 in words is "twelve trillion, two hundred twenty million, two thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 165 185 222 330 370 407 555 814 1110 1221 2035 2442 4070 6105 7283 12210 14566 21849 36415 43698 72830 80113 109245 134947 160226 218490 240339 269471 269894 400565 404841 480678 538942 674735 801130 808413 809682 1201695 1347355 1349470 1484417 1616826 2024205 2403390 2694710 2964181 2968834 4042065 4048410 4453251 4993039 5928362 7422085 8084130 8892543 8906502 9986078 14820905 14844170 14979117 17785086 22266255 24965195 29641810 29958234 44462715 44532510 49930390 54923429 74895585 88925430 109846858 149791170 164770287 274617145 329540574 549234290 823851435 982819001 1647702870 1965638002 2948457003 4914095005 5896914006 9828190010 10811009011 14742285015 21622018022 29484570030 32433027033 36364303037 54055045055 64866054066 72728606074 108110090110 109092909111 162165135165 181821515185 218185818222 324330270330 363643030370 400007333407 545464545555 800014666814 1090929091110 1200022000221 2000036667035 2400044000442 4000073334070 6000110001105 12000220002210