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12111000021100 = 2252251516793383
BaseRepresentation
bin1011000000111100111111…
…0110101010100001101100
31120212210121102012102020001
42300033033312222201230
53041411312001133400
641431414441434044
72356663604432251
oct260171766524154
946783542172201
1012111000021100
11394a278862632
12143723949b924
1369b0a7133446
142dc265917428
1516007cc00a6a
hexb03cfdaa86c

12111000021100 has 72 divisors (see below), whose sum is σ = 26390963870208. Its totient is φ = 4824114120000.

The previous prime is 12111000021089. The next prime is 12111000021121. The reversal of 12111000021100 is 112000011121.

It is a super-2 number, since 2×121110000211002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 129645009 + ... + 129738391.

It is an arithmetic number, because the mean of its divisors is an integer number (366541164864).

Almost surely, 212111000021100 is an apocalyptic number.

12111000021100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12111000021100 is an abundant number, since it is smaller than the sum of its proper divisors (14279963849108).

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

12111000021100 is a wasteful number, since it uses less digits than its factorization.

12111000021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98815 (or 98808 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 12111000021100 its reverse (112000011121), we get a palindrome (12223000032221).

The spelling of 12111000021100 in words is "twelve trillion, one hundred eleven billion, twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 251 502 1004 1255 2510 5020 5167 6275 10334 12550 20668 25100 25835 51670 93383 103340 129175 186766 258350 373532 466915 516700 933830 1296917 1867660 2334575 2593834 4669150 5187668 6484585 9338300 12969170 23439133 25938340 32422925 46878266 64845850 93756532 117195665 129691700 234391330 468782660 482509961 585978325 965019922 1171956650 1930039844 2343913300 2412549805 4825099610 9650199220 12062749025 24125498050 48250996100 121110000211 242220000422 484440000844 605550001055 1211100002110 2422200004220 3027750005275 6055500010550 12111000021100