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12201120011120 = 245718943954979
BaseRepresentation
bin1011000110001100101101…
…1011001001001101110000
31121012102020000212020201012
42301203023123021031300
53044400343210323440
641541041145530052
72366334061626035
oct261431333111560
947172200766635
1012201120011120
113984514188a27
1214507aa4a3928
136a6739a77c21
1430277472b38c
151625a487ee65
hexb18cb6c9370

12201120011120 has 160 divisors (see below), whose sum is σ = 29157169536000. Its totient is φ = 4746721351680.

The previous prime is 12201120011107. The next prime is 12201120011131. The reversal of 12201120011120 is 2111002110221.

It is a junction number, because it is equal to n+sod(n) for n = 12201120011095 and 12201120011104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221895791 + ... + 221950769.

It is an arithmetic number, because the mean of its divisors is an integer number (182232309600).

Almost surely, 212201120011120 is an apocalyptic number.

12201120011120 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 12201120011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14578584768000).

12201120011120 is an abundant number, since it is smaller than the sum of its proper divisors (16956049524880).

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

12201120011120 is a wasteful number, since it uses less digits than its factorization.

12201120011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55591 (or 55585 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12201120011120 its reverse (2111002110221), we get a palindrome (14312122121341).

The spelling of 12201120011120 in words is "twelve trillion, two hundred one billion, one hundred twenty million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 89 142 178 284 355 356 439 445 568 710 712 878 890 1136 1420 1424 1756 1780 2195 2840 3512 3560 4390 5680 6319 7024 7120 8780 12638 17560 25276 31169 31595 35120 39071 50552 54979 62338 63190 78142 101104 109958 124676 126380 155845 156284 195355 219916 249352 252760 274895 311690 312568 390710 439832 498704 505520 549790 623380 625136 781420 879664 1099580 1246760 1562840 2199160 2493520 2774041 3125680 3903509 4398320 4893131 5548082 7807018 9786262 11096164 13870205 15614036 19517545 19572524 22192328 24135781 24465655 27740410 31228072 39035090 39145048 44384656 48271562 48931310 55480820 62456144 78070180 78290096 96543124 97862620 110961640 120678905 156140360 193086248 195725240 221923280 241357810 312280720 347412301 386172496 391450480 482715620 694824602 965431240 1389649204 1713640451 1737061505 1930862480 2148084509 2779298408 3427280902 3474123010 4296169018 5558596816 6854561804 6948246020 8568202255 8592338036 10740422545 13709123608 13896492040 17136404510 17184676072 21480845090 27418247216 27792984080 34272809020 34369352144 42961690180 68545618040 85923380360 137091236080 152514000139 171846760720 305028000278 610056000556 762570000695 1220112001112 1525140001390 2440224002224 3050280002780 6100560005560 12201120011120