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12300221120 = 265112317671
BaseRepresentation
bin10110111010010011…
…00111101011000000
31011202020000222022012
423131021213223000
5200142324033440
65352312232052
7613545103655
oct133511475300
934666028265
1012300221120
115242177200
12247339b628
13121040c165
1484984bc2c
154becc4e65
hex2dd267ac0

12300221120 has 84 divisors (see below), whose sum is σ = 32194786512. Its totient is φ = 4472793600.

The previous prime is 12300221117. The next prime is 12300221177. The reversal of 12300221120 is 2112200321.

It is a happy number.

12300221120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12300221095 and 12300221104.

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 11 ways as a sum of consecutive naturals, for example, 120116 + ... + 197555.

It is an arithmetic number, because the mean of its divisors is an integer number (383271268).

Almost surely, 212300221120 is an apocalyptic number.

12300221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12300221120 is an abundant number, since it is smaller than the sum of its proper divisors (19894565392).

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

12300221120 is a wasteful number, since it uses less digits than its factorization.

12300221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317710 (or 317689 counting only the distinct ones).

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

Adding to 12300221120 its reverse (2112200321), we get a palindrome (14412421441).

The spelling of 12300221120 in words is "twelve billion, three hundred million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 121 160 176 220 242 320 352 440 484 605 704 880 968 1210 1760 1936 2420 3520 3872 4840 7744 9680 19360 38720 317671 635342 1270684 1588355 2541368 3176710 3494381 5082736 6353420 6988762 10165472 12706840 13977524 17471905 20330944 25413680 27955048 34943810 38438191 50827360 55910096 69887620 76876382 101654720 111820192 139775240 153752764 192190955 223640384 279550480 307505528 384381910 559100960 615011056 768763820 1118201920 1230022112 1537527640 2460044224 3075055280 6150110560 12300221120