Search a number
-
+
12000211100000 = 2555120002111
BaseRepresentation
bin1010111010100000010001…
…0100011110000101100000
31120111012122100022002112222
42232220010110132011200
53033102413020200000
641304453150410212
72345662263230264
oct256500424360540
946435570262488
1012000211100000
113907296359412
12141987a500968
136907cc362326
142d6b55a500a4
1515c24671da85
hexaea0451e160

12000211100000 has 72 divisors (see below), whose sum is σ = 29529879716736. Its totient is φ = 4800084400000.

The previous prime is 12000211099993. The next prime is 12000211100057. The reversal of 12000211100000 is 111200021.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 59901056 + ... + 60101055.

It is an arithmetic number, because the mean of its divisors is an integer number (410137218288).

Almost surely, 212000211100000 is an apocalyptic number.

12000211100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000211100000 is an abundant number, since it is smaller than the sum of its proper divisors (17529668616736).

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

12000211100000 is an frugal number, since it uses more digits than its factorization.

12000211100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120002146 (or 120002118 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 12000211100000 its reverse (111200021), we get a palindrome (12000322300021).

The spelling of 12000211100000 in words is "twelve trillion, two hundred eleven million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 20000 25000 50000 100000 120002111 240004222 480008444 600010555 960016888 1200021110 1920033776 2400042220 3000052775 3840067552 4800084440 6000105550 9600168880 12000211100 15000263875 19200337760 24000422200 30000527750 48000844400 60001055500 75001319375 96001688800 120002111000 150002638750 240004222000 300005277500 375006596875 480008444000 600010555000 750013193750 1200021110000 1500026387500 2400042220000 3000052775000 6000105550000 12000211100000