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212012122012120 = 23519866332201699
BaseRepresentation
bin110000001101001011101011…
…001110000111100111011000
31000210200011100022102011212201
4300031023223032013213120
5210242101311213341440
62030525005124215544
762441241011615323
oct6015135316074730
91023604308364781
10212012122012120
116160a921805291
121b94145283a5b4
13913b871192cb1
143a4d6275017ba
151979dc62d219a
hexc0d2eb3879d8

212012122012120 has 64 divisors (see below), whose sum is σ = 502191951840000. Its totient is φ = 80332159125888.

The previous prime is 212012122012111. The next prime is 212012122012151. The reversal of 212012122012120 is 21210221210212.

212012122012120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (19).

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, 9516970 + ... + 22684729.

It is an arithmetic number, because the mean of its divisors is an integer number (7846749247500).

Almost surely, 2212012122012120 is an apocalyptic number.

212012122012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212012122012120 is an abundant number, since it is smaller than the sum of its proper divisors (290179829827880).

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

212012122012120 is a wasteful number, since it uses less digits than its factorization.

212012122012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32210392 (or 32210388 counting only the distinct ones).

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

Adding to 212012122012120 its reverse (21210221210212), we get a palindrome (233222343222332).

The spelling of 212012122012120 in words is "two hundred twelve trillion, twelve billion, one hundred twenty-two million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 8663 17326 34652 43315 69304 86630 164597 173260 329194 346520 658388 822985 1316776 1645970 3291940 6583880 32201699 64403398 128806796 161008495 257613592 322016990 611832281 644033980 1223664562 1288067960 2447329124 3059161405 4894658248 6118322810 12236645620 24473291240 278963318437 557926636874 1115853273748 1394816592185 2231706547496 2789633184370 5300303050303 5579266368740 10600606100606 11158532737480 21201212201212 26501515251515 42402424402424 53003030503030 106006061006060 212012122012120