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12010200212100 = 22352292311597353
BaseRepresentation
bin1010111011000101011110…
…1101111010001010000100
31120112011102111120120021210
42232301113231322022010
53033233342223241400
641313224304011420
72346464646254136
oct256612755721204
946464374516253
1012010200212100
113910551a07162
12141b7a7900b70
13691731a09a4c
142d742257b056
1515c62d67a950
hexaec57b7a284

12010200212100 has 144 divisors (see below), whose sum is σ = 35963386945920. Its totient is φ = 3090938188800.

The previous prime is 12010200212051. The next prime is 12010200212113. The reversal of 12010200212100 is 121200201021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19807024 + ... + 20404376.

It is an arithmetic number, because the mean of its divisors is an integer number (249745742680).

Almost surely, 212010200212100 is an apocalyptic number.

12010200212100 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 12010200212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17981693472960).

12010200212100 is an abundant number, since it is smaller than the sum of its proper divisors (23953186733820).

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

12010200212100 is a wasteful number, since it uses less digits than its factorization.

12010200212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599710 (or 599703 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12010200212100 its reverse (121200201021), we get a palindrome (12131400413121).

The spelling of 12010200212100 in words is "twelve trillion, ten billion, two hundred million, two hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 435 580 725 870 1450 1740 2175 2311 2900 4350 4622 6933 8700 9244 11555 13866 23110 27732 34665 46220 57775 67019 69330 115550 134038 138660 173325 201057 231100 268076 335095 346650 402114 597353 670190 693300 804228 1005285 1194706 1340380 1675475 1792059 2010570 2389412 2986765 3350950 3584118 4021140 5026425 5973530 6701900 7168236 8960295 10052850 11947060 14933825 17323237 17920590 20105700 29867650 34646474 35841180 44801475 51969711 59735300 69292948 86616185 89602950 103939422 173232370 179205900 207878844 259848555 346464740 433080925 519697110 866161850 1039394220 1299242775 1380482783 1732323700 2598485550 2760965566 4141448349 5196971100 5521931132 6902413915 8282896698 13804827830 16565793396 20707241745 27609655660 34512069575 40034000707 41414483490 69024139150 80068001414 82828966980 103536208725 120102002121 138048278300 160136002828 200170003535 207072417450 240204004242 400340007070 414144834900 480408008484 600510010605 800680014140 1000850017675 1201020021210 2001700035350 2402040042420 3002550053025 4003400070700 6005100106050 12010200212100