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12221010220 = 2254143571607
BaseRepresentation
bin10110110000110110…
…11101000100101100
31011112200222122101011
423120123131010230
5200012034311340
65340402355004
7611563605256
oct133033350454
934480878334
1012221010220
115201494951
12245095ba64
1311c9b96cc3
1483d10ccd6
154b7d7a0ea
hex2d86dd12c

12221010220 has 96 divisors (see below), whose sum is σ = 26992982016. Its totient is φ = 4642444800.

The previous prime is 12221010199. The next prime is 12221010223. The reversal of 12221010220 is 2201012221.

It is a happy number.

12221010220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12221010220.

It is not an unprimeable number, because it can be changed into a prime (12221010223) 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 31 ways as a sum of consecutive naturals, for example, 20133157 + ... + 20133763.

It is an arithmetic number, because the mean of its divisors is an integer number (281176896).

Almost surely, 212221010220 is an apocalyptic number.

12221010220 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 12221010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13496491008).

12221010220 is an abundant number, since it is smaller than the sum of its proper divisors (14771971796).

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

12221010220 is a wasteful number, since it uses less digits than its factorization.

12221010220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12221010220 its reverse (2201012221), we get a palindrome (14422022441).

The spelling of 12221010220 in words is "twelve billion, two hundred twenty-one million, ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 43 82 86 164 172 205 215 410 430 571 607 820 860 1142 1214 1763 2284 2428 2855 3035 3526 5710 6070 7052 8815 11420 12140 17630 23411 24553 24887 26101 35260 46822 49106 49774 52202 93644 98212 99548 104404 117055 122765 124435 130505 234110 245530 248870 261010 346597 468220 491060 497740 522020 693194 1006673 1070141 1386388 1732985 2013346 2140282 3465970 4026692 4280564 5033365 5350705 6931940 10066730 10701410 14210477 14903671 20133460 21402820 28420954 29807342 56841908 59614684 71052385 74518355 142104770 149036710 284209540 298073420 611050511 1222101022 2444202044 3055252555 6110505110 12221010220