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12034120000 = 2654742979
BaseRepresentation
bin10110011010100101…
…00001100101000000
31011001200022122012011
423031102201211000
5144121213320000
65310044542304
7604134221650
oct131522414500
934050278164
1012034120000
115115a46521
1223ba251994
13119a24cb86
14822380360
154a67602ba
hex2cd4a1940

12034120000 has 140 divisors (see below), whose sum is σ = 34104458080. Its totient is φ = 4125888000.

The previous prime is 12034119997. The next prime is 12034120013. The reversal of 12034120000 is 2143021.

It is a tau number, because it is divible by the number of its divisors (140).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 258511 + ... + 301489.

It is an arithmetic number, because the mean of its divisors is an integer number (243603272).

Almost surely, 212034120000 is an apocalyptic number.

12034120000 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 12034120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17052229040).

12034120000 is an abundant number, since it is smaller than the sum of its proper divisors (22070338080).

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

12034120000 is an frugal number, since it uses more digits than its factorization.

12034120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43018 (or 42993 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 12034120000 its reverse (2143021), we get a palindrome (12036263021).

The spelling of 12034120000 in words is "twelve billion, thirty-four million, one hundred twenty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 140 160 175 200 224 250 280 320 350 400 448 500 560 625 700 800 875 1000 1120 1250 1400 1600 1750 2000 2240 2500 2800 3500 4000 4375 5000 5600 7000 8000 8750 10000 11200 14000 17500 20000 28000 35000 40000 42979 56000 70000 85958 140000 171916 214895 280000 300853 343832 429790 601706 687664 859580 1074475 1203412 1375328 1504265 1719160 2148950 2406824 2750656 3008530 3438320 4297900 4813648 5372375 6017060 6876640 7521325 8595800 9627296 10744750 12034120 13753280 15042650 17191600 19254592 21489500 24068240 26861875 30085300 34383200 37606625 42979000 48136480 53723750 60170600 68766400 75213250 85958000 96272960 107447500 120341200 150426500 171916000 188033125 214895000 240682400 300853000 343832000 376066250 429790000 481364800 601706000 752132500 859580000 1203412000 1504265000 1719160000 2406824000 3008530000 6017060000 12034120000