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12211021220220 = 22325194637711607
BaseRepresentation
bin1011000110110001100110…
…0101010000100101111100
31121020100210001201210012100
42301230121211100211330
53100031132413021340
641545355443105100
72400134326542624
oct261543145204574
947210701653170
1012211021220220
113988735157969
1214526b2372190
136a7657156034
143030336d5884
15162983c26830
hexb1b1995097c

12211021220220 has 144 divisors (see below), whose sum is σ = 39073792343040. Its totient is φ = 3078226343808.

The previous prime is 12211021220213. The next prime is 12211021220257. The reversal of 12211021220220 is 2202212011221.

It is a happy number.

12211021220220 is a `hidden beast` number, since 1 + 2 + 211 + 0 + 212 + 20 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12211021220193 and 12211021220202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2272344 + ... + 5439263.

It is an arithmetic number, because the mean of its divisors is an integer number (271345780160).

Almost surely, 212211021220220 is an apocalyptic number.

12211021220220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211021220220 is an abundant number, since it is smaller than the sum of its proper divisors (26862771122820).

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

12211021220220 is a wasteful number, since it uses less digits than its factorization.

12211021220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7712104 (or 7712099 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12211021220220 its reverse (2202212011221), we get a palindrome (14413233231441).

The spelling of 12211021220220 in words is "twelve trillion, two hundred eleven billion, twenty-one million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 463 570 684 855 926 1140 1389 1710 1852 2315 2778 3420 4167 4630 5556 6945 8334 8797 9260 13890 16668 17594 20835 26391 27780 35188 41670 43985 52782 79173 83340 87970 105564 131955 158346 175940 263910 316692 395865 527820 791730 1583460 7711607 15423214 23134821 30846428 38558035 46269642 69404463 77116070 92539284 115674105 138808926 146520533 154232140 231348210 277617852 293041066 347022315 439561599 462696420 586082132 694044630 732602665 879123198 1318684797 1388089260 1465205330 1758246396 2197807995 2637369594 2930410660 3570474041 4395615990 5274739188 6593423985 7140948082 8791231980 10711422123 13186847970 14281896164 17852370205 21422844246 26373695940 32134266369 35704740410 42845688492 53557110615 64268532738 67839006779 71409480820 107114221230 128537065476 135678013558 160671331845 203517020337 214228442460 271356027116 321342663690 339195033895 407034040674 610551061011 642685327380 678390067790 814068081348 1017585101685 1221102122022 1356780135580 2035170203370 2442204244044 3052755305055 4070340406740 6105510610110 12211021220220