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12122211011220 = 22325592115409721
BaseRepresentation
bin1011000001100110110000…
…0101001100101010010100
31120220212112201122201111100
42300121230011030222110
53042102242004324340
641440511124110100
72360541455324532
oct260315405145224
946825481581440
1012122211011220
1139540010aa422
121439447b35330
1369c1729924cb
142dca0a82b152
151604d706a830
hexb066c14ca94

12122211011220 has 144 divisors (see below), whose sum is σ = 37571168456640. Its totient is φ = 3162738700800.

The previous prime is 12122211011189. The next prime is 12122211011257. The reversal of 12122211011220 is 2211011222121.

12122211011220 is a `hidden beast` number, since 1 + 212 + 221 + 1 + 0 + 11 + 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 = 12122211011193 and 12122211011202.

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, 464041 + ... + 4945680.

It is an arithmetic number, because the mean of its divisors is an integer number (260910892060).

Almost surely, 212122211011220 is an apocalyptic number.

12122211011220 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 12122211011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18785584228320).

12122211011220 is an abundant number, since it is smaller than the sum of its proper divisors (25448957445420).

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

12122211011220 is a wasteful number, since it uses less digits than its factorization.

12122211011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5410006 (or 5410001 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12122211011220 its reverse (2211011222121), we get a palindrome (14333222233341).

The spelling of 12122211011220 in words is "twelve trillion, one hundred twenty-two billion, two hundred eleven million, eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 90 118 177 180 211 236 295 354 422 531 590 633 708 844 885 1055 1062 1180 1266 1770 1899 2110 2124 2532 2655 3165 3540 3798 4220 5310 6330 7596 9495 10620 12449 12660 18990 24898 37347 37980 49796 62245 74694 112041 124490 149388 186735 224082 248980 373470 448164 560205 746940 1120410 2240820 5409721 10819442 16229163 21638884 27048605 32458326 48687489 54097210 64916652 81145815 97374978 108194420 162291630 194749956 243437445 319173539 324583260 486874890 638347078 957520617 973749780 1141451131 1276694156 1595867695 1915041234 2282902262 2872561851 3191735390 3424353393 3830082468 4565804524 4787603085 5707255655 5745123702 6383470780 6848706786 9575206170 10273060179 11414511310 11490247404 13697413572 14362809255 17121766965 19150412340 20546120358 22829022620 28725618510 34243533930 41092240716 51365300895 57451237020 67345616729 68487067860 102730601790 134691233458 202036850187 205461203580 269382466916 336728083645 404073700374 606110550561 673456167290 808147400748 1010184250935 1212221101122 1346912334580 2020368501870 2424442202244 3030552752805 4040737003740 6061105505610 12122211011220