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12102201212120 = 2354124473015689
BaseRepresentation
bin1011000000011100001101…
…1001110111110011011000
31120211221220012200121101222
42300013003121313303120
53041240302002241440
641423401404431212
72356232553666035
oct260070331676330
946757805617358
1012102201212120
113946573098178
1214355a2848508
1369a3042665b6
142dba6d11438c
1515ec155162b5
hexb01c3677cd8

12102201212120 has 64 divisors (see below), whose sum is σ = 27905506473600. Its totient is φ = 4720878622720.

The previous prime is 12102201212119. The next prime is 12102201212183. The reversal of 12102201212120 is 2121210220121.

12102201212120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2505236 + ... + 5520924.

It is an arithmetic number, because the mean of its divisors is an integer number (436023538650).

Almost surely, 212102201212120 is an apocalyptic number.

12102201212120 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 12102201212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13952753236800).

12102201212120 is an abundant number, since it is smaller than the sum of its proper divisors (15803305261480).

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

12102201212120 is a wasteful number, since it uses less digits than its factorization.

12102201212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3018188 (or 3018184 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 12102201212120 its reverse (2121210220121), we get a palindrome (14223411432241).

The spelling of 12102201212120 in words is "twelve trillion, one hundred two billion, two hundred one million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 2447 4894 9788 12235 19576 24470 48940 97880 100327 200654 401308 501635 802616 1003270 2006540 3015689 4013080 6031378 12062756 15078445 24125512 30156890 60313780 120627560 123643249 247286498 494572996 618216245 989145992 1236432490 2472864980 4945729960 7379390983 14758781966 29517563932 36896954915 59035127864 73793909830 147587819660 295175639320 302555030303 605110060606 1210220121212 1512775151515 2420440242424 3025550303030 6051100606060 12102201212120