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12013330000 = 24547224517
BaseRepresentation
bin10110011000000110…
…01101111001010000
31011000020012101200011
423030003031321100
5144100403030000
65304023204304
7603462422500
oct131403157120
934006171604
1012013330000
115105236701
1223b32a6694
131195b50cb9
1481d6cba00
154a4a052ba
hex2cc0cde50

12013330000 has 150 divisors (see below), whose sum is σ = 33835501986. Its totient is φ = 4118688000.

The previous prime is 12013329949. The next prime is 12013330003. The reversal of 12013330000 is 3331021.

It can be written as a sum of positive squares in 5 ways, for example, as 6511844416 + 5501485584 = 80696^2 + 74172^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12013330003) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 477742 + ... + 502258.

Almost surely, 212013330000 is an apocalyptic number.

12013330000 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 12013330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16917750993).

12013330000 is an abundant number, since it is smaller than the sum of its proper divisors (21822171986).

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

12013330000 is an equidigital number, since it uses as much as digits as its factorization.

12013330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24559 (or 24531 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 12013330000 its reverse (3331021), we get a palindrome (12016661021).

The spelling of 12013330000 in words is "twelve billion, thirteen million, three hundred thirty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 125 140 175 196 200 245 250 280 350 392 400 490 500 560 625 700 784 875 980 1000 1225 1250 1400 1750 1960 2000 2450 2500 2800 3500 3920 4375 4900 5000 6125 7000 8750 9800 10000 12250 14000 17500 19600 24500 24517 30625 35000 49000 49034 61250 70000 98000 98068 122500 122585 171619 196136 245000 245170 343238 392272 490000 490340 612925 686476 858095 980680 1201333 1225850 1372952 1716190 1961360 2402666 2451700 2745904 3064625 3432380 4290475 4805332 4903400 6006665 6129250 6864760 8580950 9610664 9806800 12013330 12258500 13729520 15323125 17161900 19221328 21452375 24026660 24517000 30033325 30646250 34323800 42904750 48053320 49034000 60066650 61292500 68647600 85809500 96106640 107261875 120133300 122585000 150166625 171619000 214523750 240266600 245170000 300333250 343238000 429047500 480533200 600666500 750833125 858095000 1201333000 1501666250 1716190000 2402666000 3003332500 6006665000 12013330000