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12020300000 = 2555711693
BaseRepresentation
bin10110011000111011…
…10011100011100000
31011000201022111201022
423030131303203200
5144104144100000
65304432425012
7603605602262
oct131435634340
934021274638
1012020300000
115109167335
1223b56a8168
131197421667
148205c3b32
154a5430585
hex2cc7738e0

12020300000 has 144 divisors (see below), whose sum is σ = 30013641504. Its totient is φ = 4737600000.

The previous prime is 12020299999. The next prime is 12020300027. The reversal of 12020300000 is 302021.

12020300000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×120203000003 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 23 ways as a sum of consecutive naturals, for example, 7099154 + ... + 7100846.

It is an arithmetic number, because the mean of its divisors is an integer number (208428066).

Almost surely, 212020300000 is an apocalyptic number.

12020300000 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 12020300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15006820752).

12020300000 is an abundant number, since it is smaller than the sum of its proper divisors (17993341504).

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

12020300000 is an frugal number, since it uses more digits than its factorization.

12020300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1799 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

Adding to 12020300000 its reverse (302021), we get a palindrome (12020602021).

The spelling of 12020300000 in words is "twelve billion, twenty million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 71 80 100 125 142 160 200 250 284 355 400 500 568 625 710 800 1000 1136 1250 1420 1693 1775 2000 2272 2500 2840 3125 3386 3550 4000 5000 5680 6250 6772 7100 8465 8875 10000 11360 12500 13544 14200 16930 17750 20000 25000 27088 28400 33860 35500 42325 44375 50000 54176 56800 67720 71000 84650 88750 100000 120203 135440 142000 169300 177500 211625 221875 240406 270880 284000 338600 355000 423250 443750 480812 601015 677200 710000 846500 887500 961624 1058125 1202030 1354400 1420000 1693000 1775000 1923248 2116250 2404060 3005075 3386000 3550000 3846496 4232500 4808120 5290625 6010150 6772000 7100000 8465000 9616240 10581250 12020300 15025375 16930000 19232480 21162500 24040600 30050750 33860000 42325000 48081200 60101500 75126875 84650000 96162400 120203000 150253750 169300000 240406000 300507500 375634375 480812000 601015000 751268750 1202030000 1502537500 2404060000 3005075000 6010150000 12020300000