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12102112011200 = 265210174889307
BaseRepresentation
bin1011000000011011111000…
…0101100110001111000000
31120211221122222211201202012
42300012332011212033000
53041240111133324300
641423344500512052
72356230421542041
oct260067605461700
946757588751665
1012102112011200
113946527802202
1214355789ab628
1369a2bb9342a3
142dba613348c8
1515ec0c796435
hexb01be1663c0

12102112011200 has 84 divisors (see below), whose sum is σ = 30073598970792. Its totient is φ = 4792915584000.

The previous prime is 12102112011181. The next prime is 12102112011239. The reversal of 12102112011200 is 211021120121.

It is a super-2 number, since 2×121021120112002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37283054 + ... + 37606253.

Almost surely, 212102112011200 is an apocalyptic number.

12102112011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102112011200 is an abundant number, since it is smaller than the sum of its proper divisors (17971486959592).

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

12102112011200 is a wasteful number, since it uses less digits than its factorization.

12102112011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74889430 (or 74889415 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12102112011200 its reverse (211021120121), we get a palindrome (12313133131321).

The spelling of 12102112011200 in words is "twelve trillion, one hundred two billion, one hundred twelve million, eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 101 160 200 202 320 400 404 505 800 808 1010 1600 1616 2020 2525 3232 4040 5050 6464 8080 10100 16160 20200 32320 40400 80800 161600 74889307 149778614 299557228 374446535 599114456 748893070 1198228912 1497786140 1872232675 2396457824 2995572280 3744465350 4792915648 5991144560 7488930700 7563820007 11982289120 14977861400 15127640014 23964578240 29955722800 30255280028 37819100035 59911445600 60510560056 75638200070 119822891200 121021120112 151276400140 189095500175 242042240224 302552800280 378191000350 484084480448 605105600560 756382000700 1210211201120 1512764001400 2420422402240 3025528002800 6051056005600 12102112011200