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12201122121220 = 2254183439740771
BaseRepresentation
bin1011000110001100101110…
…0011001100011000000100
31121012102020011211110020001
42301203023203030120010
53044400344230334340
641541041303051044
72366334115564654
oct261431343143004
947172204743201
1012201122121220
11398451539a30a
1214507ab140a84
136a673a3364c6
14302774b1a364
151625a4b4a29a
hexb18cb8cc604

12201122121220 has 96 divisors (see below), whose sum is σ = 26570217373056. Its totient is φ = 4702861900800.

The previous prime is 12201122121217. The next prime is 12201122121233. The reversal of 12201122121220 is 2212122110221.

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, 299239435 + ... + 299280205.

It is an arithmetic number, because the mean of its divisors is an integer number (276773097636).

Almost surely, 212201122121220 is an apocalyptic number.

12201122121220 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 12201122121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13285108686528).

12201122121220 is an abundant number, since it is smaller than the sum of its proper divisors (14369095251836).

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

12201122121220 is a wasteful number, since it uses less digits than its factorization.

12201122121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45301 (or 45299 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 12201122121220 its reverse (2212122110221), we get a palindrome (14413244231441).

The spelling of 12201122121220 in words is "twelve trillion, two hundred one billion, one hundred twenty-two million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 83 164 166 205 332 410 415 820 830 1660 3403 4397 6806 8794 13612 17015 17588 21985 34030 40771 43970 68060 81542 87940 163084 180277 203855 360554 364951 407710 721108 729902 815420 901385 1459804 1671611 1802770 1824755 3343222 3383993 3605540 3649510 6686444 6767986 7299020 8358055 13535972 14962991 16716110 16919965 29925982 33432220 33839930 59851964 67679860 74814955 138743713 149629910 179270087 277487426 299259820 358540174 554974852 693718565 717080348 896350435 1387437130 1792700870 2774874260 3585401740 7350073567 14700147134 14879417221 29400294268 29758834442 36750367835 59517668884 73500735670 74397086105 147001471340 148794172210 297588344420 610056106061 1220112212122 2440224424244 3050280530305 6100561060610 12201122121220