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12122220010120 = 235111913071109431
BaseRepresentation
bin1011000001100110110010…
…0111100001101010001000
31120220212120100120220122221
42300121230213201222020
53042102301310310440
641440512045023424
72360541624654433
oct260315447415210
946825510526587
1012122220010120
113954006196430
12143944ab54b74
1369c1747c34bc
142dca0bad081a
151604d7c46d4a
hexb066c9e1a88

12122220010120 has 128 divisors (see below), whose sum is σ = 31344560409600. Its totient is φ = 4172876870400.

The previous prime is 12122220010081. The next prime is 12122220010189. The reversal of 12122220010120 is 2101002222121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12122220010094 and 12122220010103.

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 31 ways as a sum of consecutive naturals, for example, 10371805 + ... + 11481235.

It is an arithmetic number, because the mean of its divisors is an integer number (244879378200).

Almost surely, 212122220010120 is an apocalyptic number.

12122220010120 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 12122220010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15672280204800).

12122220010120 is an abundant number, since it is smaller than the sum of its proper divisors (19222340399480).

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

12122220010120 is a wasteful number, since it uses less digits than its factorization.

12122220010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110779 (or 1110775 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12122220010120 its reverse (2101002222121), we get a palindrome (14223222232241).

The spelling of 12122220010120 in words is "twelve trillion, one hundred twenty-two billion, two hundred twenty million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1307 1672 2090 2614 4180 5228 6535 8360 10456 13070 14377 24833 26140 28754 49666 52280 57508 71885 99332 115016 124165 143770 198664 248330 273163 287540 496660 546326 575080 993320 1092652 1109431 1365815 2185304 2218862 2731630 4437724 5463260 5547155 8875448 10926520 11094310 12203741 21079189 22188620 24407482 42158378 44377240 48814964 61018705 84316756 97629928 105395945 122037410 168633512 210791890 231871079 244074820 421583780 463742158 488149640 843167560 927484316 1159355395 1450026317 1854968632 2318710790 2900052634 4637421580 5800105268 7250131585 9274843160 11600210536 14500263170 15950289487 27550500023 29000526340 31900578974 55101000046 58001052680 63801157948 79751447435 110202000092 127602315896 137752500115 159502894870 220404000184 275505000230 303055500253 319005789740 551010000460 606111000506 638011579480 1102020000920 1212222001012 1515277501265 2424444002024 3030555002530 6061110005060 12122220010120