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12102110012000 = 255324413123931
BaseRepresentation
bin1011000000011011110111…
…1101111110001001100000
31120211221122212002011100202
42300012331331332021200
53041240110130341000
641423344350004332
72356230365544341
oct260067575761140
946757585064322
1012102110012000
113946526667178
1214355781a66a8
1369a2bb3b4328
142dba60d740c8
1515ec0c4eddd5
hexb01bdf7e260

12102110012000 has 96 divisors (see below), whose sum is σ = 29736342234144. Its totient is φ = 4840606656000.

The previous prime is 12102110011997. The next prime is 12102110012033. The reversal of 12102110012000 is 21001120121.

It is a super-2 number, since 2×121021100120002 (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 (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97590035 + ... + 97713965.

It is an arithmetic number, because the mean of its divisors is an integer number (309753564939).

Almost surely, 212102110012000 is an apocalyptic number.

12102110012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102110012000 is an abundant number, since it is smaller than the sum of its proper divisors (17634232222144).

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

12102110012000 is a wasteful number, since it uses less digits than its factorization.

12102110012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148369 (or 148351 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12102110012000 its reverse (21001120121), we get a palindrome (12123111132121).

The spelling of 12102110012000 in words is "twelve trillion, one hundred two billion, one hundred ten million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 24413 48826 97652 122065 123931 195304 244130 247862 390608 488260 495724 610325 619655 781216 976520 991448 1220650 1239310 1953040 1982896 2441300 2478620 3051625 3098275 3906080 3965792 4882600 4957240 6103250 6196550 9765200 9914480 12206500 12393100 15491375 19530400 19828960 24413000 24786200 30982750 48826000 49572400 61965500 97652000 99144800 123931000 247862000 495724000 3025527503 6051055006 12102110012 15127637515 24204220024 30255275030 48408440048 60510550060 75638187575 96816880096 121021100120 151276375150 242042200240 302552750300 378190937875 484084400480 605105500600 756381875750 1210211001200 1512763751500 2420422002400 3025527503000 6051055006000 12102110012000