Search a number
-
+
12143120000 = 27541113799
BaseRepresentation
bin10110100111100100…
…10100111010000000
31011100021102102002012
423103302110322000
5144332114320000
65324541112052
7606626550134
oct132362247200
934307372065
1012143120000
115171524870
12242a858628
1311b69c500b
14832a353c4
154b10e1735
hex2d3c94e80

12143120000 has 160 divisors (see below), whose sum is σ = 32980068000. Its totient is φ = 4415360000.

The previous prime is 12143119993. The next prime is 12143120053. The reversal of 12143120000 is 2134121.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 873101 + ... + 886899.

It is an arithmetic number, because the mean of its divisors is an integer number (206125425).

Almost surely, 212143120000 is an apocalyptic number.

12143120000 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 12143120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16490034000).

12143120000 is an abundant number, since it is smaller than the sum of its proper divisors (20836948000).

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

12143120000 is an equidigital number, since it uses as much as digits as its factorization.

12143120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13844 (or 13817 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 12143120000 its reverse (2134121), we get a palindrome (12145254121).

The spelling of 12143120000 in words is "twelve billion, one hundred forty-three million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 128 160 176 200 220 250 275 320 352 400 440 500 550 625 640 704 800 880 1000 1100 1250 1375 1408 1600 1760 2000 2200 2500 2750 3200 3520 4000 4400 5000 5500 6875 7040 8000 8800 10000 11000 13750 13799 16000 17600 20000 22000 27500 27598 35200 40000 44000 55000 55196 68995 80000 88000 110000 110392 137990 151789 176000 220000 220784 275980 303578 344975 440000 441568 551960 607156 689950 758945 880000 883136 1103920 1214312 1379900 1517890 1724875 1766272 2207840 2428624 2759800 3035780 3449750 3794725 4415680 4857248 5519600 6071560 6899500 7589450 8624375 8831360 9714496 11039200 12143120 13799000 15178900 17248750 18973625 19428992 22078400 24286240 27598000 30357800 34497500 37947250 44156800 48572480 55196000 60715600 68995000 75894500 94868125 97144960 110392000 121431200 137990000 151789000 189736250 220784000 242862400 275980000 303578000 379472500 485724800 551960000 607156000 758945000 1103920000 1214312000 1517890000 2428624000 3035780000 6071560000 12143120000