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12201212001220 = 22511210163179111
BaseRepresentation
bin1011000110001101000011…
…1010000011101111000100
31121012102110102221211101221
42301203100322003233010
53044401040233014340
641541054233330124
72366336256550534
oct261432072035704
947172412854357
1012201212001220
1139845610a9500
121450815266944
136a6752b45938
14302782a354c4
151625ac9a144a
hexb18d0e83bc4

12201212001220 has 144 divisors (see below), whose sum is σ = 28487907157248. Its totient is φ = 4385858400000.

The previous prime is 12201212001109. The next prime is 12201212001233. The reversal of 12201212001220 is 2210021210221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12201212001194 and 12201212001203.

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, 154189465 + ... + 154268575.

It is an arithmetic number, because the mean of its divisors is an integer number (197832688592).

Almost surely, 212201212001220 is an apocalyptic number.

12201212001220 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 12201212001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14243953578624).

12201212001220 is an abundant number, since it is smaller than the sum of its proper divisors (16286695156028).

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

12201212001220 is a wasteful number, since it uses less digits than its factorization.

12201212001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79874 (or 79861 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12201212001220 its reverse (2210021210221), we get a palindrome (14411233211441).

The spelling of 12201212001220 in words is "twelve trillion, two hundred one billion, two hundred twelve million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 121 202 220 242 404 484 505 605 631 1010 1111 1210 1262 2020 2222 2420 2524 3155 4444 5555 6310 6941 11110 12221 12620 13882 22220 24442 27764 34705 48884 61105 63731 69410 76351 79111 122210 127462 138820 152702 158222 244420 254924 305404 316444 318655 381755 395555 637310 701041 763510 791110 870221 1274620 1402082 1527020 1582220 1740442 2804164 3480884 3505205 4351105 7010410 7711451 7990211 8702210 9572431 14020820 15422902 15980422 17404420 19144862 30845804 31960844 38289724 38557255 39951055 47862155 49919041 77114510 79902110 87892321 95724310 99838082 154229020 159804220 175784642 191448620 199676164 249595205 351569284 439461605 499190410 549109451 878923210 966815531 998380820 1098218902 1757846420 1933631062 2196437804 2745547255 3867262124 4834077655 5041823141 5491094510 6040203961 9668155310 10083646282 10982189020 12080407922 19336310620 20167292564 24160815844 25209115705 30201019805 50418231410 55460054551 60402039610 100836462820 110920109102 120804079220 221840218204 277300272755 554600545510 610060600061 1109201091020 1220121200122 2440242400244 3050303000305 6100606000610 12201212001220