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12010122012200 = 23521320693223229
BaseRepresentation
bin1010111011000101001100…
…0011100110011000101000
31120112011020001102121012012
42232301103003212120220
53033233212213342300
641313212431535052
72346463006466114
oct256612303463050
946464201377165
1012010122012200
113910511855444
12141b78568a488
1369171b759b10
142d7416022744
1515c626880435
hexaec530e6628

12010122012200 has 96 divisors (see below), whose sum is σ = 30073085746200. Its totient is φ = 4434272424960.

The previous prime is 12010122012193. The next prime is 12010122012223. The reversal of 12010122012200 is 221022101021.

It can be written as a sum of positive squares in 12 ways, for example, as 4548423364 + 12005573588836 = 67442^2 + 3464906^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53690186 + ... + 53913414.

Almost surely, 212010122012200 is an apocalyptic number.

12010122012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12010122012200 is an abundant number, since it is smaller than the sum of its proper divisors (18062963734000).

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

12010122012200 is a wasteful number, since it uses less digits than its factorization.

12010122012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243951 (or 243942 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12010122012200 its reverse (221022101021), we get a palindrome (12231144113221).

The spelling of 12010122012200 in words is "twelve trillion, ten billion, one hundred twenty-two million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 20693 41386 82772 103465 165544 206930 223229 269009 413860 446458 517325 538018 827720 892916 1034650 1076036 1116145 1345045 1785832 2069300 2152072 2232290 2690090 2901977 4138600 4464580 5380180 5580725 5803954 6725225 8929160 10760360 11161450 11607908 13450450 14509885 22322900 23215816 26900900 29019770 44645800 53801800 58039540 72549425 116079080 145098850 290197700 580395400 4619277697 9238555394 18477110788 23096388485 36954221576 46192776970 60050610061 92385553940 115481942425 120101220122 184771107880 230963884850 240202440244 300253050305 461927769700 480404880488 600506100610 923855539400 1201012201220 1501265251525 2402024402440 3002530503050 6005061006100 12010122012200