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12011223300 = 22352236128537
BaseRepresentation
bin10110010111110110…
…01011100100000100
31011000002020100211020
423023323023210010
5144044333121200
65303510111140
7603435466506
oct131373134404
934002210736
1012011223300
11510402792a
1223b264b4b0
13119559412b
1481d2ddd76
154a473aea0
hex2cbecb904

12011223300 has 144 divisors (see below), whose sum is σ = 36859224192. Its totient is φ = 3013401600.

The previous prime is 12011223241. The next prime is 12011223311. The reversal of 12011223300 is 332211021.

12011223300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12011223300.

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 47 ways as a sum of consecutive naturals, for example, 406632 + ... + 435168.

Almost surely, 212011223300 is an apocalyptic number.

12011223300 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 12011223300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18429612096).

12011223300 is an abundant number, since it is smaller than the sum of its proper divisors (24848000892).

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

12011223300 is a wasteful number, since it uses less digits than its factorization.

12011223300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28638 (or 28631 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12011223300 its reverse (332211021), we get a palindrome (12343434321).

The spelling of 12011223300 in words is "twelve billion, eleven million, two hundred twenty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 61 69 75 92 100 115 122 138 150 183 230 244 276 300 305 345 366 460 575 610 690 732 915 1150 1220 1380 1403 1525 1725 1830 2300 2806 3050 3450 3660 4209 4575 5612 6100 6900 7015 8418 9150 14030 16836 18300 21045 28060 28537 35075 42090 57074 70150 84180 85611 105225 114148 140300 142685 171222 210450 285370 342444 420900 428055 570740 656351 713425 856110 1312702 1426850 1712220 1740757 1969053 2140275 2625404 2853700 3281755 3481514 3938106 4280550 5222271 6563510 6963028 7876212 8561100 8703785 9845265 10444542 13127020 16408775 17407570 19690530 20889084 26111355 32817550 34815140 39381060 40037411 43518925 49226325 52222710 65635100 80074822 87037850 98452650 104445420 120112233 130556775 160149644 174075700 196905300 200187055 240224466 261113550 400374110 480448932 522227100 600561165 800748220 1000935275 1201122330 2001870550 2402244660 3002805825 4003741100 6005611650 12011223300