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12222011100 = 22352136414889
BaseRepresentation
bin10110110000111110…
…10001011011011100
31011112202212111022210
423120133101123130
5200012313323400
65340440040420
7611605244265
oct133037213334
934482774283
1012222011100
115202008922
122451163110
1311ca157740
1483d2cd96c
154b7ec6950
hex2d87d16dc

12222011100 has 144 divisors (see below), whose sum is σ = 38149745760. Its totient is φ = 3003187200.

The previous prime is 12222011089. The next prime is 12222011107. The reversal of 12222011100 is 111022221.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12222011107) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2497456 + ... + 2502344.

It is an arithmetic number, because the mean of its divisors is an integer number (264928790).

Almost surely, 212222011100 is an apocalyptic number.

12222011100 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 12222011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19074872880).

12222011100 is an abundant number, since it is smaller than the sum of its proper divisors (25927734660).

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

12222011100 is a wasteful number, since it uses less digits than its factorization.

12222011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5560 (or 5553 counting only the distinct ones).

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

Adding to 12222011100 its reverse (111022221), we get a palindrome (12333033321).

The spelling of 12222011100 in words is "twelve billion, two hundred twenty-two million, eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 641 650 780 975 1282 1300 1923 1950 2564 3205 3846 3900 4889 6410 7692 8333 9615 9778 12820 14667 16025 16666 19230 19556 24445 24999 29334 32050 33332 38460 41665 48075 48890 49998 58668 63557 64100 73335 83330 96150 97780 99996 122225 124995 127114 146670 166660 190671 192300 208325 244450 249990 254228 293340 317785 366675 381342 416650 488900 499980 624975 635570 733350 762684 833300 953355 1249950 1271140 1466700 1588925 1906710 2499900 3133849 3177850 3813420 4766775 6267698 6355700 9401547 9533550 12535396 15669245 18803094 19067100 31338490 37606188 40740037 47007735 62676980 78346225 81480074 94015470 122220111 156692450 162960148 188030940 203700185 235038675 244440222 313384900 407400370 470077350 488880444 611100555 814800740 940154700 1018500925 1222201110 2037001850 2444402220 3055502775 4074003700 6111005550 12222011100