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12000212002200 = 2335289119224423
BaseRepresentation
bin1010111010100000010001…
…0111111010010110011000
31120111012122101222221010210
42232220010113322112120
53033102413233032300
641304453222011120
72345662304005512
oct256500427722630
946435571887123
1012000212002200
113907296915234
12141987a876aa0
136907cc5b9b86
142d6b55c06bb2
1515c24684b050
hexaea045fa598

12000212002200 has 96 divisors (see below), whose sum is σ = 37201240396800. Its totient is φ = 3200006367360.

The previous prime is 12000212002153. The next prime is 12000212002213. The reversal of 12000212002200 is 220021200021.

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

It is a congruent number.

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, 53359189 + ... + 53583611.

It is an arithmetic number, because the mean of its divisors is an integer number (387512920800).

Almost surely, 212000212002200 is an apocalyptic number.

12000212002200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000212002200 is an abundant number, since it is smaller than the sum of its proper divisors (25201028394600).

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

12000212002200 is a wasteful number, since it uses less digits than its factorization.

12000212002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313561 (or 313552 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12000212002200 its reverse (220021200021), we get a palindrome (12220233202221).

The spelling of 12000212002200 in words is "twelve trillion, two hundred twelve million, two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 89119 178238 224423 267357 356476 445595 448846 534714 673269 712952 891190 897692 1069428 1122115 1336785 1346538 1782380 1795384 2138856 2227975 2244230 2673570 2693076 3366345 3564760 4455950 4488460 5347140 5386152 5610575 6683925 6732690 8911900 8976920 10694280 11221150 13367850 13465380 16831725 17823800 22442300 26735700 26930760 33663450 44884600 53471400 67326900 134653800 20000353337 40000706674 60001060011 80001413348 100001766685 120002120022 160002826696 200003533370 240004240044 300005300055 400007066740 480008480088 500008833425 600010600110 800014133480 1000017666850 1200021200220 1500026500275 2000035333700 2400042400440 3000053000550 4000070667400 6000106001100 12000212002200