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12110210012300 = 22522329971871777
BaseRepresentation
bin1011000000111010000011…
…0001000001010010001100
31120212201120100122210212212
42300032200301001102030
53041403202230343200
641431204221045552
72356635202450511
oct260164061012214
946781510583785
1012110210012300
113949a029262a4
1214370589b68b8
1369acac56b10a
142dc1cca2d308
1516003369e035
hexb03a0c4148c

12110210012300 has 144 divisors (see below), whose sum is σ = 28659766282560. Its totient is φ = 4427573821440.

The previous prime is 12110210012281. The next prime is 12110210012333. The reversal of 12110210012300 is 321001201121.

It is a super-4 number, since 4×121102100123004 (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5534012 + ... + 7405788.

It is an arithmetic number, because the mean of its divisors is an integer number (199026154740).

Almost surely, 212110210012300 is an apocalyptic number.

12110210012300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12110210012300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14329883141280).

12110210012300 is an abundant number, since it is smaller than the sum of its proper divisors (16549556270260).

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

12110210012300 is a wasteful number, since it uses less digits than its factorization.

12110210012300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1871940 (or 1871933 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 12110210012300 its reverse (321001201121), we get a palindrome (12431211213421).

The spelling of 12110210012300 in words is "twelve trillion, one hundred ten billion, two hundred ten million, twelve thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 29 46 50 58 92 97 100 115 116 145 194 230 290 388 460 485 575 580 667 725 970 1150 1334 1450 1940 2231 2300 2425 2668 2813 2900 3335 4462 4850 5626 6670 8924 9700 11155 11252 13340 14065 16675 22310 28130 33350 44620 55775 56260 64699 66700 70325 111550 129398 140650 223100 258796 281300 323495 646990 1293980 1617475 1871777 3234950 3743554 6469900 7487108 9358885 18717770 37435540 43050871 46794425 54281533 86101742 93588850 108563066 172203484 181562369 187177700 215254355 217126132 271407665 363124738 430508710 542815330 726249476 861017420 907811845 1076271775 1085630660 1248475259 1357038325 1815623690 2152543550 2496950518 2714076650 3631247380 4175934487 4305087100 4539059225 4993901036 5265308701 5428153300 6242376295 8351868974 9078118450 10530617402 12484752590 16703737948 18156236900 20879672435 21061234804 24969505180 26326543505 31211881475 41759344870 52653087010 62423762950 83518689740 104398362175 105306174020 121102100123 124847525900 131632717525 208796724350 242204200246 263265435050 417593448700 484408400492 526530870100 605510500615 1211021001230 2422042002460 3027552503075 6055105006150 12110210012300