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12000212220200 = 23522314231833269
BaseRepresentation
bin1010111010100000010001…
…1000101111100100101000
31120111012122102102000011212
42232220010120233210220
53033102413312021300
641304453230412252
72345662305604211
oct256500430574450
946435572360155
1012000212220200
113907296a53aa6
12141987a961088
136907cc665179
142d6b55c62408
1515c246890935
hexaea0462f928

12000212220200 has 96 divisors (see below), whose sum is σ = 29134033516800. Its totient is φ = 4588156488960.

The previous prime is 12000212220163. The next prime is 12000212220307. The reversal of 12000212220200 is 202221200021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5629166 + ... + 7462434.

It is an arithmetic number, because the mean of its divisors is an integer number (303479515800).

Almost surely, 212000212220200 is an apocalyptic number.

12000212220200 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 12000212220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14567016758400).

12000212220200 is an abundant number, since it is smaller than the sum of its proper divisors (17133821296600).

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

12000212220200 is a wasteful number, since it uses less digits than its factorization.

12000212220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1834731 (or 1834722 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 12000212220200 its reverse (202221200021), we get a palindrome (12202433420221).

The spelling of 12000212220200 in words is "twelve trillion, two hundred twelve million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 920 1150 1423 2300 2846 4600 5692 7115 11384 14230 28460 32729 35575 56920 65458 71150 130916 142300 163645 261832 284600 327290 654580 818225 1309160 1636450 1833269 3272900 3666538 6545800 7333076 9166345 14666152 18332690 36665380 42165187 45831725 73330760 84330374 91663450 168660748 183326900 210825935 337321496 366653800 421651870 843303740 1054129675 1686607480 2108259350 2608741787 4216518700 5217483574 8433037400 10434967148 13043708935 20869934296 26087417870 52174835740 60001061101 65218544675 104349671480 120002122202 130437089350 240004244404 260874178700 300005305505 480008488808 521748357400 600010611010 1200021222020 1500026527525 2400042444040 3000053055050 6000106110100 12000212220200