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12212212021100 = 225271312831045987
BaseRepresentation
bin1011000110110110000010…
…0011110011011101101100
31121020110212001102201220122
42301231200203303131230
53100041102234133400
641550113542104112
72400205666305410
oct261554043633554
947213761381818
1012212212021100
113989196350223
12145298511b038
136a77b6a79340
1430310790cd40
15162a03546685
hexb1b608f376c

12212212021100 has 144 divisors (see below), whose sum is σ = 32641452979968. Its totient is φ = 3861947669760.

The previous prime is 12212212021027. The next prime is 12212212021111. The reversal of 12212212021100 is 112021221221.

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, 11152307 + ... + 12198293.

Almost surely, 212212212021100 is an apocalyptic number.

12212212021100 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 12212212021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16320726489984).

12212212021100 is an abundant number, since it is smaller than the sum of its proper divisors (20429240958868).

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

12212212021100 is a wasteful number, since it uses less digits than its factorization.

12212212021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047304 (or 1047297 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 12212212021100 its reverse (112021221221), we get a palindrome (12324233242321).

The spelling of 12212212021100 in words is "twelve trillion, two hundred twelve billion, two hundred twelve million, twenty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 700 910 1283 1300 1820 2275 2566 4550 5132 6415 8981 9100 12830 16679 17962 25660 32075 33358 35924 44905 64150 66716 83395 89810 116753 128300 166790 179620 224525 233506 333580 416975 449050 467012 583765 833950 898100 1045987 1167530 1667900 2091974 2335060 2918825 4183948 5229935 5837650 7321909 10459870 11675300 13597831 14643818 20919740 26149675 27195662 29287636 36609545 52299350 54391324 67989155 73219090 95184817 104598700 135978310 146438180 183047725 190369634 271956620 339945775 366095450 380739268 475924085 679891550 732190900 951848170 1342001321 1359783100 1903696340 2379620425 2684002642 4759240850 5368005284 6710006605 9394009247 9518481700 13420013210 17446017173 18788018494 26840026420 33550033025 34892034346 37576036988 46970046235 67100066050 69784068692 87230085865 93940092470 122122120211 134200132100 174460171730 187880184940 234850231175 244244240422 348920343460 436150429325 469700462350 488488480844 610610601055 872300858650 939400924700 1221221202110 1744601717300 2442442404220 3053053005275 6106106010550 12212212021100