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12212221300000 = 2555179682247
BaseRepresentation
bin1011000110110110000100…
…0111001100110100100000
31121020110212200220011011121
42301231201013030310200
53100041112123100000
641550114513022024
72400206141212531
oct261554107146440
947213780804147
1012212221300000
1139891a0608637
121452988254914
136a77b8977907
14303108c46688
15162a0427ab1a
hexb1b611ccd20

12212221300000 has 144 divisors (see below), whose sum is σ = 30219520201920. Its totient is φ = 4857591520000.

The previous prime is 12212221299953. The next prime is 12212221300021. The reversal of 12212221300000 is 312221221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 17558877 + ... + 18241123.

It is an arithmetic number, because the mean of its divisors is an integer number (209857779180).

Almost surely, 212212221300000 is an apocalyptic number.

12212221300000 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 12212221300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15109760100960).

12212221300000 is an abundant number, since it is smaller than the sum of its proper divisors (18007298901920).

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

12212221300000 is an frugal number, since it uses more digits than its factorization.

12212221300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682461 (or 682433 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12212221300000 its reverse (312221221), we get a palindrome (12212533521221).

The spelling of 12212221300000 in words is "twelve trillion, two hundred twelve billion, two hundred twenty-one million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 179 200 250 358 400 500 625 716 800 895 1000 1250 1432 1790 2000 2500 2864 3125 3580 4000 4475 5000 5728 6250 7160 8950 10000 12500 14320 17900 20000 22375 25000 28640 35800 44750 50000 71600 89500 100000 111875 143200 179000 223750 358000 447500 559375 682247 716000 895000 1118750 1364494 1790000 2237500 2728988 3411235 3580000 4475000 5457976 6822470 8950000 10915952 13644940 17056175 17900000 21831904 27289880 34112350 54579760 68224700 85280875 109159520 122122213 136449400 170561750 244244426 272898800 341123500 426404375 488488852 545797600 610611065 682247000 852808750 976977704 1221222130 1364494000 1705617500 1953955408 2132021875 2442444260 2728988000 3053055325 3411235000 3907910816 4264043750 4884888520 6106110650 6822470000 8528087500 9769777040 12212221300 13644940000 15265276625 17056175000 19539554080 24424442600 30530553250 34112350000 48848885200 61061106500 68224700000 76326383125 97697770400 122122213000 152652766250 244244426000 305305532500 381631915625 488488852000 610611065000 763263831250 1221222130000 1526527662500 2442444260000 3053055325000 6106110650000 12212221300000