122972257826897920

Names of 122972257826897920

• Cardinal: 122972257826897920 can be written as One hundred twenty-two quadrillion, nine hundred seventy-two trillion, two hundred fifty-seven billion, eight hundred twenty-six million, eight hundred ninety-seven thousand, nine hundred twenty.

Scientific notation

• Scientific notation: 1.2297225782689792 × 10¹⁷

Factors of 122972257826897920

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 29
• Sum of prime factors: 1520

Divisors of 122972257826897920

• Number of divisors d(n): 600
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 107 112 128 140 160 214 224 256 280 320 428 448 512 535 560 640 749 856 896 1024 1070 1120 1280 1399 1498 1712 1792 2048 2140 2240 2560 2798 2996 3424 3584 3745 4096 4280 4480 5120 5596 5992 6848 6995 7168 7490 8192 8560 8960 9793 10240 11192 11984 13696 13990 14336 14980 16384 17120 17920 19586 20480 22384 23968 27392 27980 28672 29960 32768 34240 35840 39172 40960 44768 47936 48965 54784 55960 57344 59920 65536 68480 71680 78344 81920 89536 95872 97930 109568 111920 114688 119840 131072 136960 143360 149693 156688 163840 179072 191744 195860 219136 223840 229376 239680 262144 273920 286720 299386 313376 327680 358144 383488 391720 438272 447680 458752 479360 524288 547840 573440 598772 626752 655360 716288 748465 766976 783440 876544 895360 917504 958720 1047851 1048576 1095680 1146880 1197544 1253504 1310720 1432576 1496930 1533952 1566880 1753088 1790720 1835008 1917440 1957201 2095702 2097152 2191360 2293760 2395088 2507008 2621440 2865152 2993860 3067904 3133760 3506176 3581440 3670016 3834880 3914402 4191404 4194304 4382720 4587520 4790176 5014016 5239255 5242880 5730304 5987720 6135808 6267520 7012352 7162880 7340032 7669760 7828804 8382808 8388608 8765440 9175040 9580352 9786005 10028032 10478510 10485760 11460608 11975440 12271616 12535040 13700407 14024704 14325760 14680064 15339520 15657608 16765616 16777216 17530880 18350080 19160704 19572010 20056064 20957020 20971520 22921216 23950880 24543232 25070080 27400814 28049408 28651520 29360128 30679040 31315216 33531232 35061760 36700160 38321408 39144020 40112128 41914040 41943040 45842432 47901760 49086464 50140160 54801628 56098816 57303040 58720256 61358080 62630432 67062464 68502035 70123520 73400320 76642816 78288040 80224256 83828080 83886080 91684864 95803520 98172928 100280320 109603256 112197632 114606080 117440512 122716160 125260864 134124928 137004070 140247040 146800640 153285632 156576080 160448512 167656160 183369728 191607040 196345856 200560640 209420507 219206512 224395264 229212160 245432320 250521728 268249856 274008140 280494080 293601280 306571264 313152160 320897024 335312320 366739456 383214080 392691712 401121280 418841014 438413024 448790528 458424320 490864640 501043456 536499712 548016280 560988160 587202560 613142528 626304320 641794048 670624640 733478912 766428160 785383424 802242560 837682028 876826048 897581056 916848640 981729280 1002086912 1047102535 1072999424 1096032560 1121976320 1226285056 1252608640 1283588096 1341249280 1465943549 1466957824 1532856320 1570766848 1604485120 1675364056 1753652096 1795162112 1833697280 1963458560 2004173824 2094205070 2145998848 2192065120 2243952640 2452570112 2505217280 2567176192 2682498560 2931887098 2933915648 3065712640 3141533696 3208970240 3350728112 3507304192 3667394560 3926917120 4008347648 4188410140 4291997696 4384130240 4487905280 4905140224 5010434560 5134352384 5364997120 5863774196 5867831296 6131425280 6283067392 6417940480 6701456224 7014608384 7329717745 7334789120 7853834240 8016695296 8376820280 8583995392 8768260480 8975810560 9810280448 10020869120 10268704768 10729994240 11727548392 11735662592 12262850560 12566134784 12835880960 13402912448 14029216768 14659435490 14669578240 15707668480 16033390592 16753640560 17167990784 17536520960 19620560896 20041738240 20537409536 21459988480 23455096784 23471325184 24525701120 25671761920 26805824896 28058433536 29318870980 29339156480 31415336960 32066781184 33507281120 34335981568 35073041920 39241121792 40083476480 41074819072 42919976960 46910193568 49051402240 51343523840 53611649792 56116867072 58637741960 58678312960 62830673920 64133562368 67014562240 68671963136 70146083840 78482243584 80166952960 82149638144 85839953920 93820387136 98102804480 102687047680 107223299584 112233734144 117275483920 117356625920 128267124736 134029124480 137343926272 140292167680 156964487168 160333905920 164299276288 171679907840 187640774272 196205608960 205374095360 214446599168 224467468288 234550967840 256534249472 268058248960 274687852544 280584335360 313928974336 320667811840 343359815680 375281548544 392411217920 410748190720 428893198336 448934936576 469101935680 513068498944 536116497920 549375705088 561168670720 627857948672 641335623680 686719631360 750563097088 784822435840 821496381440 857786396672 897869873152 938203871360 1026136997888 1072232995840 1098751410176 1122337341440 1255715897344 1282671247360 1373439262720 1501126194176 1569644871680 1715572793344 1795739746304 1876407742720 2052273995776 2144465991680 2197502820352 2244674682880 2511431794688 2565342494720 2746878525440 3002252388352 3139289743360 3431145586688 3591479492608 3752815485440 4104547991552 4288931983360 4395005640704 4489349365760 5130684989440 5493757050880 6004504776704 6278579486720 6862291173376 7182958985216 7505630970880 8209095983104 8577863966720 8790011281408 8978698731520 10261369978880 10987514101760 12009009553408 12557158973440 13724582346752 14365917970432 15011261941760 16418191966208 17155727933440 17580022562816 17957397463040 20522739957760 21975028203520 24018019106816 27449164693504 28731835940864 30022523883520 32836383932416 34311455866880 35914794926080 41045479915520 43950056407040 48036038213632 54898329387008 57463671881728 60045047767040 68622911733760 71829589852160 82090959831040 87900112814080 96072076427264 109796658774016 114927343763456 120090095534080 137245823467520 143659179704320 164181919662080 192144152854528 219593317548032 229854687526912 240180191068160 274491646935040 287318359408640 384288305709056 439186635096064 480360382136320 548983293870080 574636718817280 768576611418112 878373270192128 960720764272640 1097966587740160 1149273437634560 1537153222836224 1756746540384256 1921441528545280 2195933175480320 3074306445672448 3513493080768512 3842883057090560 4391866350960640 6148612891344896 7685766114181120 8783732701921280 12297225782689792 15371532228362240 17567465403842560 24594451565379584 30743064456724480 61486128913448960 122972257826897920
• Sum of all divisors σ(n): 340691143103584704
• Sum of proper divisors (its aliquot sum) s(n): 217718885276686784
• 122972257826897920 is an abundant number, because the sum of its proper divisors (217718885276686784) is greater than itself. Its abundance is 94746627449788864

Bases of 122972257826897920

• Binary: 110110100111000101001110111110001000000000000000000000000₂
• Hexadecimal: 0x1B4E29DF1000000
• Base-36: XMU0ZCSIZGG

Squares and roots of 122972257826897920

• 122972257826897920 squared (122972257826897920²) is 15122176195045056745771050100326400
• 122972257826897920 cubed (122972257826897920³) is 1859608149960858886276812965457263968860491481088000
• The square root of 122972257826897920 is 350674005.0629614605
• The cube root of 122972257826897920 is 497281.5910593329

Scales and comparisons

• 122,972,257,826,897,920 seconds is equal to 3,910,137,420 years, 37 weeks, 5 days, 15 hours, 38 minutes, 40 seconds.
• To count from 1 to 122,972,257,826,897,920 would take you about eleven billion, seven hundred thirty million, four hundred twelve thousand, two hundred sixty-two years!

  This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 122972257826897920 cubic inches would be around 41440.1 feet tall.

Recreational maths with 122972257826897920

• 122972257826897920 backwards is 029798628752279221
• The number of decimal digits it has is: 18
• The sum of 122972257826897920's digits is 88
• More coming soon!