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12111212200000 = 265560556061
BaseRepresentation
bin1011000000111101110010…
…0000000100000001000000
31120212211011012110012221211
42300033130200010001000
53041412230310400000
641431451501255504
72360002062062524
oct260173440040100
946784135405854
1012111212200000
11394a3776037a1
121437298564594
1369b10c092ca4
142dc285b89d84
151600916637ba
hexb03dc804040

12111212200000 has 84 divisors (see below), whose sum is σ = 30039561227844. Its totient is φ = 4844484800000.

The previous prime is 12111212199973. The next prime is 12111212200019. The reversal of 12111212200000 is 221211121.

It can be written as a sum of positive squares in 6 ways, for example, as 5767221462016 + 6343990737984 = 2401504^2 + 2518728^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30078031 + ... + 30478030.

It is an arithmetic number, because the mean of its divisors is an integer number (357613824141).

Almost surely, 212111212200000 is an apocalyptic number.

12111212200000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12111212200000 is an abundant number, since it is smaller than the sum of its proper divisors (17928349027844).

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

12111212200000 is an frugal number, since it uses more digits than its factorization.

12111212200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60556098 (or 60556068 counting only the distinct ones).

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

Adding to 12111212200000 its reverse (221211121), we get a palindrome (12111433411121).

The spelling of 12111212200000 in words is "twelve trillion, one hundred eleven billion, two hundred twelve million, two hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 5000 6250 8000 10000 12500 20000 25000 40000 50000 100000 200000 60556061 121112122 242224244 302780305 484448488 605560610 968896976 1211121220 1513901525 1937793952 2422242440 3027803050 3875587904 4844484880 6055606100 7569507625 9688969760 12111212200 15139015250 19377939520 24222424400 30278030500 37847538125 48444848800 60556061000 75695076250 96889697600 121112122000 151390152500 189237690625 242224244000 302780305000 378475381250 484448488000 605560610000 756950762500 1211121220000 1513901525000 2422242440000 3027803050000 6055606100000 12111212200000