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12101301123210 = 23251324219188579
BaseRepresentation
bin1011000000011000110111…
…0000010011100010001010
31120211212120111000100112200
42300012031300103202022
53041231431041420320
641423132212421030
72356201344240105
oct260061560234212
946755514010480
1012101301123210
113946151005042
121435391317776
1369a1bc93b600
142db9c577373c
1515ebb14bd290
hexb018dc1388a

12101301123210 has 144 divisors (see below), whose sum is σ = 34078073047200. Its totient is φ = 2978059982976.

The previous prime is 12101301123209. The next prime is 12101301123217. The reversal of 12101301123210 is 1232110310121.

12101301123210 is a `hidden beast` number, since 1 + 210 + 130 + 1 + 1 + 2 + 321 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12101301123217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 64076701 + ... + 64265279.

It is an arithmetic number, because the mean of its divisors is an integer number (236653285050).

Almost surely, 212101301123210 is an apocalyptic number.

12101301123210 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 12101301123210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17039036523600).

12101301123210 is an abundant number, since it is smaller than the sum of its proper divisors (21976771923990).

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

12101301123210 is a wasteful number, since it uses less digits than its factorization.

12101301123210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192837 (or 192821 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12101301123210 its reverse (1232110310121), we get a palindrome (13333411433331).

The spelling of 12101301123210 in words is "twelve trillion, one hundred one billion, three hundred one million, one hundred twenty-three thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 169 195 234 338 390 507 585 845 1014 1170 1521 1690 2535 3042 4219 5070 7605 8438 12657 15210 21095 25314 37971 42190 54847 63285 75942 109694 126570 164541 188579 189855 274235 329082 377158 379710 493623 548470 565737 713011 822705 942895 987246 1131474 1426022 1645410 1697211 1885790 2139033 2451527 2468115 2828685 3394422 3565055 4278066 4903054 4936230 5657370 6417099 7130110 7354581 8486055 10695165 12257635 12834198 14709162 16972110 21390330 22063743 24515270 31869851 32085495 36772905 44127486 63739702 64170990 73545810 95609553 110318715 159349255 191219106 220637430 286828659 318698510 478047765 573657318 795614801 956095530 1434143295 1591229602 2386844403 2868286590 3978074005 4773688806 7160533209 7956148010 10342992413 11934222015 14321066418 20685984826 23868444030 31028977239 35802666045 51714962065 62057954478 71605332090 93086931717 103429924130 134458901369 155144886195 186173863434 268917802738 310289772390 403376704107 465434658585 672294506845 806753408214 930869317170 1210130112321 1344589013690 2016883520535 2420260224642 4033767041070 6050650561605 12101301123210