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12243424020 = 22351013076581
BaseRepresentation
bin10110110011100001…
…11101001100010100
31011121021011101022220
423121300331030110
5200033304032040
65342523022340
7612255246522
oct133160751424
934537141286
1012243424020
115213103753
12245836a9b0
131201713cc9
148420a5312
154b9d062d0
hex2d9c3d314

12243424020 has 96 divisors (see below), whose sum is σ = 34739058816. Its totient is φ = 3221568000.

The previous prime is 12243424007. The next prime is 12243424051. The reversal of 12243424020 is 2042434221.

12243424020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 1857130 + ... + 1863710.

It is an arithmetic number, because the mean of its divisors is an integer number (361865196).

Almost surely, 212243424020 is an apocalyptic number.

12243424020 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 12243424020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17369529408).

12243424020 is an abundant number, since it is smaller than the sum of its proper divisors (22495634796).

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

12243424020 is a wasteful number, since it uses less digits than its factorization.

12243424020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7001 (or 6999 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 12243424020 its reverse (2042434221), we get a palindrome (14285858241).

The spelling of 12243424020 in words is "twelve billion, two hundred forty-three million, four hundred twenty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 307 404 505 606 614 921 1010 1212 1228 1515 1535 1842 2020 3030 3070 3684 4605 6060 6140 6581 9210 13162 18420 19743 26324 31007 32905 39486 62014 65810 78972 93021 98715 124028 131620 155035 186042 197430 310070 372084 394860 465105 620140 664681 930210 1329362 1860420 1994043 2020367 2658724 3323405 3988086 4040734 6061101 6646810 7976172 8081468 9970215 10101835 12122202 13293620 19940430 20203670 24244404 30305505 39880860 40407340 60611010 121222020 204057067 408114134 612171201 816228268 1020285335 1224342402 2040570670 2448684804 3060856005 4081141340 6121712010 12243424020