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12201221122220 = 22513711117159167
BaseRepresentation
bin1011000110001101000101…
…1100110110100010101100
31121012102111002010020001202
42301203101130312202230
53044401100101402340
641541055201025032
72366336430226424
oct261432134664254
947172432106052
1012201221122220
113984566269219
121450818325178
136a67549ba390
14302783d2b484
151625ad6a3c15
hexb18d17368ac

12201221122220 has 96 divisors (see below), whose sum is σ = 27985149997056. Its totient is φ = 4441141958400.

The previous prime is 12201221122183. The next prime is 12201221122241. The reversal of 12201221122220 is 2222112210221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12201221122192 and 12201221122201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206187077 + ... + 206246243.

It is an arithmetic number, because the mean of its divisors is an integer number (291511979136).

Almost surely, 212201221122220 is an apocalyptic number.

12201221122220 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 12201221122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13992574998528).

12201221122220 is an abundant number, since it is smaller than the sum of its proper divisors (15783928874836).

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

12201221122220 is a wasteful number, since it uses less digits than its factorization.

12201221122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70431 (or 70429 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 12201221122220 its reverse (2222112210221), we get a palindrome (14423333332441).

The spelling of 12201221122220 in words is "twelve trillion, two hundred one billion, two hundred twenty-one million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 71 130 142 260 284 355 710 923 1420 1846 3692 4615 9230 11171 18460 22342 44684 55855 59167 111710 118334 145223 223420 236668 290446 295835 580892 591670 726115 769171 793141 1183340 1452230 1538342 1586282 2904460 3076684 3172564 3845855 3965705 4200857 7691710 7931410 8401714 10310833 15383420 15862820 16803428 20621666 21004285 41243332 42008570 51554165 54611141 84017140 103108330 109222282 206216660 218444564 273055705 546111410 660954557 1092222820 1321909114 2643818228 3304772785 6609545570 8592409241 13219091140 17184818482 34369636964 42962046205 46927773547 85924092410 93855547094 171848184820 187711094188 234638867735 469277735470 610061056111 938555470940 1220122112222 2440244224444 3050305280555 6100610561110 12201221122220