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12420355024 = 2471119530603
BaseRepresentation
bin10111001000100111…
…11001001111010000
31012001121002102001001
423210103321033100
5200414102330044
65412243151344
7616534163410
oct134423711720
935047072031
1012420355024
1152a3a6a620
1224a7675554
13122c281ccc
1485b7a0640
154ca6052d4
hex2e44f93d0

12420355024 has 80 divisors (see below), whose sum is σ = 31581550080. Its totient is φ = 4584401280.

The previous prime is 12420355021. The next prime is 12420355033. The reversal of 12420355024 is 42055302421.

12420355024 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 (28).

It is a junction number, because it is equal to n+sod(n) for n = 12420354983 and 12420355001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12420355021) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 241894 + ... + 288709.

It is an arithmetic number, because the mean of its divisors is an integer number (394769376).

Almost surely, 212420355024 is an apocalyptic number.

12420355024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12420355024 is an abundant number, since it is smaller than the sum of its proper divisors (19161195056).

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

12420355024 is a wasteful number, since it uses less digits than its factorization.

12420355024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530648 (or 530642 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

Adding to 12420355024 its reverse (42055302421), we get a palindrome (54475657445).

The spelling of 12420355024 in words is "twelve billion, four hundred twenty million, three hundred fifty-five thousand, twenty-four".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 38 44 56 76 77 88 112 133 152 154 176 209 266 304 308 418 532 616 836 1064 1232 1463 1672 2128 2926 3344 5852 11704 23408 530603 1061206 2122412 3714221 4244824 5836633 7428442 8489648 10081457 11673266 14856884 20162914 23346532 29713768 40325828 40856431 46693064 59427536 70570199 80651656 81712862 93386128 110896027 141140398 161303312 163425724 221792054 282280796 326851448 443584108 564561592 653702896 776272189 887168216 1129123184 1552544378 1774336432 3105088756 6210177512 12420355024