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12100221212220 = 22325106721629899
BaseRepresentation
bin1011000000010100110101…
…1000110001011000111100
31120211202210012222012011100
42300011031120301120330
53041222223112242340
641422433114253100
72356132522163421
oct260051530613074
946752705865140
1012100221212220
113945747470a19
12143512b727190
1369a079ca271b
142db922183d48
1515eb4b7a4830
hexb014d63163c

12100221212220 has 72 divisors (see below), whose sum is σ = 36704406538800. Its totient is φ = 3226690298880.

The previous prime is 12100221212207. The next prime is 12100221212291. The reversal of 12100221212220 is 2221212200121.

It is a happy number.

12100221212220 is a `hidden beast` number, since 1 + 2 + 10 + 0 + 221 + 212 + 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 = 12100221212193 and 12100221212202.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 18894831 + ... + 19524729.

It is an arithmetic number, because the mean of its divisors is an integer number (509783424150).

Almost surely, 212100221212220 is an apocalyptic number.

12100221212220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12100221212220 is an abundant number, since it is smaller than the sum of its proper divisors (24604185326580).

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

12100221212220 is a wasteful number, since it uses less digits than its factorization.

12100221212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736635 (or 736630 counting only the distinct ones).

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

Adding to 12100221212220 its reverse (2221212200121), we get a palindrome (14321433412341).

It can be divided in two parts, 1210022 and 1212220, that added together give a palindrome (2422242).

The spelling of 12100221212220 in words is "twelve trillion, one hundred billion, two hundred twenty-one million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 106721 213442 320163 426884 533605 629899 640326 960489 1067210 1259798 1280652 1600815 1889697 1920978 2134420 2519596 3149495 3201630 3779394 3841956 4802445 5669091 6298990 6403260 7558788 9448485 9604890 11338182 12597980 18896970 19209780 22676364 28345455 37793940 56690910 113381820 67223451179 134446902358 201670353537 268893804716 336117255895 403340707074 605011060611 672234511790 806681414148 1008351767685 1210022121222 1344469023580 2016703535370 2420044242444 3025055303055 4033407070740 6050110606110 12100221212220