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12220031320 = 2357257169817
BaseRepresentation
bin10110110000101111…
…01110000101011000
31011112122010220120121
423120113232011120
5200011312000240
65340325403024
7611552360320
oct133027560530
934478126517
1012220031320
115200986442
122450569474
1311c9913583
1483cd36280
154b7c3504a
hex2d85ee158

12220031320 has 64 divisors (see below), whose sum is σ = 31545391680. Its totient is φ = 4173398016.

The previous prime is 12220031303. The next prime is 12220031359. The reversal of 12220031320 is 2313002221.

12220031320 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 = 12220031294 and 12220031303.

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 15 ways as a sum of consecutive naturals, for example, 12949 + ... + 156868.

It is an arithmetic number, because the mean of its divisors is an integer number (492896745).

Almost surely, 212220031320 is an apocalyptic number.

12220031320 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 12220031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15772695840).

12220031320 is an abundant number, since it is smaller than the sum of its proper divisors (19325360360).

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

12220031320 is a wasteful number, since it uses less digits than its factorization.

12220031320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170092 (or 170088 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 12220031320 its reverse (2313002221), we get a palindrome (14533033541).

The spelling of 12220031320 in words is "twelve billion, two hundred twenty million, thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 257 280 514 1028 1285 1799 2056 2570 3598 5140 7196 8995 10280 14392 17990 35980 71960 169817 339634 679268 849085 1188719 1358536 1698170 2377438 3396340 4754876 5943595 6792680 9509752 11887190 23774380 43642969 47548760 87285938 174571876 218214845 305500783 349143752 436429690 611001566 872859380 1222003132 1527503915 1745718760 2444006264 3055007830 6110015660 12220031320