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12004001401210 = 257133770310133
BaseRepresentation
bin1010111010101110011000…
…1111010100100101111010
31120111120102111102100100021
42232223212033110211322
53033133143324314320
641310321230001054
72346155226243160
oct256534617244572
946446374370307
1012004001401210
113908960935855
12141a55794618a
13690c846b2000
142d6dd51b9230
1515c3b9370daa
hexaeae63d497a

12004001401210 has 128 divisors (see below), whose sum is σ = 26756950993920. Its totient is φ = 3798200510208.

The previous prime is 12004001401201. The next prime is 12004001401219. The reversal of 12004001401210 is 1210410040021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12004001401201) and next prime (12004001401219).

It is not an unprimeable number, because it can be changed into a prime (12004001401219) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1184639304 + ... + 1184649436.

It is an arithmetic number, because the mean of its divisors is an integer number (209038679640).

Almost surely, 212004001401210 is an apocalyptic number.

12004001401210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12004001401210 is an abundant number, since it is smaller than the sum of its proper divisors (14752949592710).

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

12004001401210 is a wasteful number, since it uses less digits than its factorization.

12004001401210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17889 (or 17863 counting only the distinct ones).

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

Adding to 12004001401210 its reverse (1210410040021), we get a palindrome (13214411441231).

The spelling of 12004001401210 in words is "twelve trillion, four billion, one million, four hundred one thousand, two hundred ten".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 91 130 169 182 338 455 845 910 1183 1690 2197 2366 4394 5915 7703 10133 10985 11830 15379 15406 20266 21970 30758 38515 50665 53921 70931 76895 77030 100139 101330 107842 131729 141862 153790 200278 263458 269605 354655 500695 539210 658645 700973 709310 922103 1001390 1301807 1317290 1401946 1712477 1844206 2603614 3424954 3504865 4610515 6509035 7009730 8562385 9112649 9221030 11987339 13018070 16923491 17124770 18225298 22262201 23974678 33846982 44524402 45563245 59936695 78054499 84617455 91126490 111311005 118464437 119873390 155835407 156108998 169234910 222622010 236928874 311670814 390272495 546381493 592322185 779177035 780544990 1014708487 1092762986 1184644370 1558354070 2029416974 2731907465 5073542435 5463814930 7102959409 10147084870 13191210331 14205918818 26382420662 35514797045 65956051655 71029594090 92338472317 131912103310 171485734303 184676944634 342971468606 461692361585 857428671515 923384723170 1200400140121 1714857343030 2400800280242 6002000700605 12004001401210