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12121212211020 = 223251141149312789
BaseRepresentation
bin1011000001100011000010…
…0011000100111101001100
31120220202222010020102012100
42300120300203010331030
53042043220311223040
641440224044235100
72360504636551563
oct260306043047514
946822863212170
1012121212211020
113953639326010
12143920953ba90
1369c043a85483
142dc953d12bda
15160479524b30
hexb06308c4f4c

12121212211020 has 144 divisors (see below), whose sum is σ = 41088490803360. Its totient is φ = 2866805529600.

The previous prime is 12121212210917. The next prime is 12121212211039. The reversal of 12121212211020 is 2011221212121.

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 = 12121212210984 and 12121212211002.

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, 74575215 + ... + 74737574.

It is an arithmetic number, because the mean of its divisors is an integer number (285336741690).

Almost surely, 212121212211020 is an apocalyptic number.

12121212211020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12121212211020 is an abundant number, since it is smaller than the sum of its proper divisors (28967278592340).

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

12121212211020 is a wasteful number, since it uses less digits than its factorization.

12121212211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149312856 (or 149312851 counting only the distinct ones).

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

Adding to 12121212211020 its reverse (2011221212121), we get a palindrome (14132433423141).

The spelling of 12121212211020 in words is "twelve trillion, one hundred twenty-one billion, two hundred twelve million, two hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 41 44 45 55 60 66 82 90 99 110 123 132 164 165 180 198 205 220 246 330 369 396 410 451 492 495 615 660 738 820 902 990 1230 1353 1476 1804 1845 1980 2255 2460 2706 3690 4059 4510 5412 6765 7380 8118 9020 13530 16236 20295 27060 40590 81180 149312789 298625578 447938367 597251156 746563945 895876734 1343815101 1493127890 1642440679 1791753468 2239691835 2687630202 2986255780 3284881358 4479383670 4927322037 5375260404 6121824349 6569762716 6719075505 8212203395 8958767340 9854644074 12243648698 13438151010 14781966111 16424406790 18365473047 19709288148 24487297396 24636610185 26876302020 29563932222 30609121745 32848813580 36730946094 49273220370 55096419141 59127864444 61218243490 67340067839 73461892188 73909830555 91827365235 98546440740 110192838282 122436486980 134680135678 147819661110 183654730470 202020203517 220385676564 269360271356 275482095705 295639322220 336700339195 367309460940 404040407034 550964191410 606060610551 673400678390 808080814068 1010101017585 1101928382820 1212121221102 1346801356780 2020202035170 2424242442204 3030303052755 4040404070340 6060606105510 12121212211020