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12012012123330 = 235612163660157
BaseRepresentation
bin1010111011001100001110…
…1101110011010011000010
31120112100002210000012020010
42232303003231303103002
53033301100100421310
641314124151325350
72346560600251152
oct256630355632302
946470083005203
1012012012123330
1139112a176695a
121420012680856
1369196020a57b
142d7555074762
1515c6d7788320
hexaecc3b734c2

12012012123330 has 96 divisors (see below), whose sum is σ = 29489036046912. Its totient is φ = 3131357564160.

The previous prime is 12012012123301. The next prime is 12012012123337. The reversal of 12012012123330 is 3332121021021.

It is a junction number, because it is equal to n+sod(n) for n = 12012012123297 and 12012012123306.

It is not an unprimeable number, because it can be changed into a prime (12012012123337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17865612 + ... + 18525768.

It is an arithmetic number, because the mean of its divisors is an integer number (307177458822).

Almost surely, 212012012123330 is an apocalyptic number.

12012012123330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12012012123330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14744518023456).

12012012123330 is an abundant number, since it is smaller than the sum of its proper divisors (17477023923582).

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

12012012123330 is a wasteful number, since it uses less digits than its factorization.

12012012123330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660452 (or 660391 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 12012012123330 its reverse (3332121021021), we get a palindrome (15344133144351).

The spelling of 12012012123330 in words is "twelve trillion, twelve billion, twelve million, one hundred twenty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 61 122 163 183 305 326 366 489 610 815 915 978 1630 1830 2445 3721 4890 7442 9943 11163 18605 19886 22326 29829 37210 49715 55815 59658 99430 111630 149145 298290 606523 660157 1213046 1320314 1819569 1980471 3032615 3300785 3639138 3960942 6065230 6601570 9097845 9902355 18195690 19804710 40269577 80539154 107605591 120808731 201347885 215211182 241617462 322816773 402695770 538027955 604043655 645633546 1076055910 1208087310 1614083865 2456444197 3228167730 4912888394 6563941051 7369332591 12282220985 13127882102 14738665182 19691823153 24564441970 32819705255 36846662955 39383646306 65639410510 73693325910 98459115765 196918231530 400400404111 800800808222 1201201212333 2002002020555 2402402424666 4004004041110 6006006061665 12012012123330