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12110121200200 = 2352178634127231
BaseRepresentation
bin1011000000111001101101…
…1110001110101001001000
31120212201100011112200120211
42300032123132032221020
53041403012011401300
641431151325330504
72356633043533222
oct260163336165110
946781304480524
1012110121200200
113949967786471
121437033106a34
1369ac97043a8a
142dc1c0d11412
1516002a9a94ba
hexb039b78ea48

12110121200200 has 96 divisors (see below), whose sum is σ = 29846821109760. Its totient is φ = 4553820492800.

The previous prime is 12110121200159. The next prime is 12110121200213. The reversal of 12110121200200 is 200212101121.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 870585 + ... + 4997815.

It is an arithmetic number, because the mean of its divisors is an integer number (310904386560).

Almost surely, 212110121200200 is an apocalyptic number.

12110121200200 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 12110121200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14923410554880).

12110121200200 is an abundant number, since it is smaller than the sum of its proper divisors (17736699909560).

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

12110121200200 is a wasteful number, since it uses less digits than its factorization.

12110121200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4128127 (or 4128118 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12110121200200 its reverse (200212101121), we get a palindrome (12310333301321).

The spelling of 12110121200200 in words is "twelve trillion, one hundred ten billion, one hundred twenty-one million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 863 1700 1726 3400 3452 4315 6904 8630 14671 17260 21575 29342 34520 43150 58684 73355 86300 117368 146710 172600 293420 366775 586840 733550 1467100 2934200 4127231 8254462 16508924 20636155 33017848 41272310 70162927 82544620 103180775 140325854 165089240 206361550 280651708 350814635 412723100 561303416 701629270 825446200 1403258540 1754073175 2806517080 3508146350 3561800353 7016292700 7123600706 14032585400 14247201412 17809001765 28494402824 35618003530 60550606001 71236007060 89045008825 121101212002 142472014120 178090017650 242202424004 302753030005 356180035300 484404848008 605506060010 712360070600 1211012120020 1513765150025 2422024240040 3027530300050 6055060600100 12110121200200