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11221203012120 = 233458273418631
BaseRepresentation
bin1010001101001010001111…
…0100011100101000011000
31110201201212221010222110000
42203102203310130220120
52432322010432341440
635510541031453000
72235463604566233
oct243224364345030
943651787128400
1011221203012120
113636981622a22
1213128b2227160
1363520242833a
142ab17561441a
15146d512cc730
hexa34a3d1ca18

11221203012120 has 160 divisors (see below), whose sum is σ = 37720359119520. Its totient is φ = 2991951959040.

The previous prime is 11221203012119. The next prime is 11221203012133. The reversal of 11221203012120 is 2121030212211.

11221203012120 is a `hidden beast` number, since 1 + 1 + 221 + 20 + 301 + 2 + 120 = 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 = 11221203012093 and 11221203012102.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 26595205 + ... + 27013835.

It is an arithmetic number, because the mean of its divisors is an integer number (235752244497).

Almost surely, 211221203012120 is an apocalyptic number.

11221203012120 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 11221203012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18860179559760).

11221203012120 is an abundant number, since it is smaller than the sum of its proper divisors (26499156107400).

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

11221203012120 is a wasteful number, since it uses less digits than its factorization.

11221203012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426927 (or 426914 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11221203012120 its reverse (2121030212211), we get a palindrome (13342233224331).

The spelling of 11221203012120 in words is "eleven trillion, two hundred twenty-one billion, two hundred three million, twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 8273 16546 24819 33092 41365 49638 66184 74457 82730 99276 124095 148914 165460 198552 223371 248190 297828 330920 372285 418631 446742 496380 595656 670113 744570 837262 893484 992760 1116855 1255893 1340226 1489140 1674524 1786968 2093155 2233710 2511786 2680452 2978280 3349048 3350565 3767679 4186310 4467420 5023572 5360904 6279465 6701130 7535358 8372620 8934840 10047144 11303037 12558930 13402260 15070716 16745240 18838395 22606074 25117860 26804520 30141432 33909111 37676790 45212148 50235720 56515185 67818222 75353580 90424296 113030370 135636444 150707160 169545555 226060740 271272888 339091110 452121480 678182220 1356364440 3463334263 6926668526 10390002789 13853337052 17316671315 20780005578 27706674104 31170008367 34633342630 41560011156 51950013945 62340016734 69266685260 83120022312 93510025101 103900027890 124680033468 138533370520 155850041835 187020050202 207800055780 249360066936 280530075303 311700083670 374040100404 415600111560 467550125505 561060150606 623400167340 748080200808 935100251010 1122120301212 1246800334680 1402650376515 1870200502020 2244240602424 2805300753030 3740401004040 5610601506060 11221203012120