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12211201022220 = 223253715711678431
BaseRepresentation
bin1011000110110010010001…
…0011001001100100001100
31121020101020121001200011200
42301230210103021210030
53100032014430202340
641545425344545500
72400141642044664
oct261544423114414
947211217050150
1012211201022220
1139888176a4862
121452742622290
136a768548aa55
1430304d53b1a4
151629948e1330
hexb1b244c990c

12211201022220 has 144 divisors (see below), whose sum is σ = 38284048927488. Its totient is φ = 3148131018240.

The previous prime is 12211201022219. The next prime is 12211201022221. The reversal of 12211201022220 is 2222010211221.

It is a happy number.

12211201022220 is a `hidden beast` number, since 1 + 221 + 1 + 201 + 0 + 22 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (12211201022219) and next prime (12211201022221).

It is a super-2 number, since 2×122112010222202 (a number of 27 digits) contains 22 as substring.

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 = 12211201022193 and 12211201022202.

It is not an unprimeable number, because it can be changed into a prime (12211201022221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4793596 + ... + 6884835.

Almost surely, 212211201022220 is an apocalyptic number.

12211201022220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211201022220 is an abundant number, since it is smaller than the sum of its proper divisors (26072847905268).

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

12211201022220 is a wasteful number, since it uses less digits than its factorization.

12211201022220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11678640 (or 11678635 counting only the distinct ones).

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

Adding to 12211201022220 its reverse (2222010211221), we get a palindrome (14433211233441).

The spelling of 12211201022220 in words is "twelve trillion, two hundred eleven billion, two hundred one million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 157 180 185 222 314 333 370 444 471 555 628 666 740 785 942 1110 1332 1413 1570 1665 1884 2220 2355 2826 3140 3330 4710 5652 5809 6660 7065 9420 11618 14130 17427 23236 28260 29045 34854 52281 58090 69708 87135 104562 116180 174270 209124 261405 348540 522810 1045620 11678431 23356862 35035293 46713724 58392155 70070586 105105879 116784310 140141172 175176465 210211758 233568620 350352930 420423516 432101947 525529395 700705860 864203894 1051058790 1296305841 1728407788 1833513667 2102117580 2160509735 2592611682 3667027334 3888917523 4321019470 5185223364 5500541001 6481529205 7334054668 7777835046 8642038940 9167568335 11001082002 12963058410 15555670092 16501623003 18335136670 19444587615 22002164004 25926116820 27502705005 33003246006 36670273340 38889175230 55005410010 66006492012 67840005679 77778350460 82508115015 110010820020 135680011358 165016230030 203520017037 271360022716 330032460060 339200028395 407040034074 610560051111 678400056790 814080068148 1017600085185 1221120102222 1356800113580 2035200170370 2442240204444 3052800255555 4070400340740 6105600511110 12211201022220