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12011022221100 = 22352735316202647
BaseRepresentation
bin1010111011001000100010…
…1101100111111100101100
31120112020112210022221122120
42232302020231213330230
53033242033142033400
641313442030312540
72346524220234630
oct256621055477454
946466483287576
1012011022221100
113910933a0a741
12141b997058750
136918330c75c6
142d749d7d4dc0
1515c67a8edca0
hexaec88b67f2c

12011022221100 has 144 divisors (see below), whose sum is σ = 39828960450048. Its totient is φ = 2737599068160.

The previous prime is 12011022221071. The next prime is 12011022221123. The reversal of 12011022221100 is 112222011021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12011022221100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7360024 + ... + 8842623.

Almost surely, 212011022221100 is an apocalyptic number.

12011022221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011022221100 is an abundant number, since it is smaller than the sum of its proper divisors (27817938228948).

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

12011022221100 is a wasteful number, since it uses less digits than its factorization.

12011022221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16203024 (or 16203017 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12011022221100 its reverse (112222011021), we get a palindrome (12123244232121).

The spelling of 12011022221100 in words is "twelve trillion, eleven billion, twenty-two million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 353 420 525 700 706 1050 1059 1412 1765 2100 2118 2471 3530 4236 4942 5295 7060 7413 8825 9884 10590 12355 14826 17650 21180 24710 26475 29652 35300 37065 49420 52950 61775 74130 105900 123550 148260 185325 247100 370650 741300 16202647 32405294 48607941 64810588 81013235 97215882 113418529 162026470 194431764 226837058 243039705 324052940 340255587 405066175 453674116 486079410 567092645 680511174 810132350 972158820 1134185290 1215198525 1361022348 1620264700 1701277935 2268370580 2430397050 2835463225 3402555870 4860794100 5670926450 5719534391 6805111740 8506389675 11341852900 11439068782 17012779350 17158603173 22878137564 28597671955 34025558700 34317206346 40036740737 57195343910 68634412692 80073481474 85793015865 114390687820 120110222211 142988359775 160146962948 171586031730 200183703685 240220444422 285976719550 343172063460 400367407370 428965079325 480440888844 571953439100 600551111055 800734814740 857930158650 1000918518425 1201102222110 1715860317300 2001837036850 2402204444220 3002755555275 4003674073700 6005511110550 12011022221100