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12201011122020 = 2235727643542981
BaseRepresentation
bin1011000110001100010011…
…1011110000111101100100
31121012101221102222002221120
42301203010323300331210
53044400132321401040
641541022300013540
72366331300242100
oct261430473607544
947171842862846
1012201011122020
113984468775a36
121450779b312b0
136a67203413c6
143027640a4900
1516259a0217d0
hexb18c4ef0f64

12201011122020 has 144 divisors (see below), whose sum is σ = 39745709011008. Its totient is φ = 2788432523520.

The previous prime is 12201011121967. The next prime is 12201011122039. The reversal of 12201011122020 is 2022111010221.

12201011122020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 22198930 + ... + 22741910.

It is an arithmetic number, because the mean of its divisors is an integer number (276011868132).

Almost surely, 212201011122020 is an apocalyptic number.

12201011122020 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 12201011122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19872854505504).

12201011122020 is an abundant number, since it is smaller than the sum of its proper divisors (27544697888988).

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

12201011122020 is a wasteful number, since it uses less digits than its factorization.

12201011122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550650 (or 550641 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12201011122020 its reverse (2022111010221), we get a palindrome (14223122132241).

The spelling of 12201011122020 in words is "twelve trillion, two hundred one billion, eleven million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 7643 15286 22929 30572 38215 45858 53501 76430 91716 107002 114645 152860 160503 214004 229290 267505 321006 374507 458580 535010 542981 642012 749014 802515 1070020 1085962 1123521 1498028 1605030 1628943 1872535 2171924 2247042 2714905 3210060 3257886 3745070 3800867 4494084 5429810 5617605 6515772 7490140 7601734 8144715 10859620 11235210 11402601 15203468 16289430 19004335 22470420 22805202 26606069 32578860 38008670 45610404 53212138 57013005 76017340 79818207 106424276 114026010 133030345 159636414 228052020 266060690 319272828 399091035 532121380 798182070 1596364140 4150003783 8300007566 12450011349 16600015132 20750018915 24900022698 29050026481 41500037830 49800045396 58100052962 62250056745 83000075660 87150079443 116200105924 124500113490 145250132405 174300158886 203350185367 249000226980 290500264810 348600317772 406700370734 435750397215 581000529620 610050556101 813400741468 871500794430 1016750926835 1220101112202 1743001588860 2033501853670 2440202224404 3050252780505 4067003707340 6100505561010 12201011122020