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12220222110 = 2356114294673
BaseRepresentation
bin10110110000110000…
…11100101010011110
31011112122111121021220
423120120130222132
5200011334101420
65340333434210
7611554113465
oct133030345236
934478447256
1012220222110
115200aa6818
12245063b966
1311c997c375
1483cd859dc
154b7c71840
hex2d861ca9e

12220222110 has 64 divisors (see below), whose sum is σ = 29836572480. Its totient is φ = 3202375680.

The previous prime is 12220222093. The next prime is 12220222117. The reversal of 12220222110 is 1122202221.

12220222110 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12220222110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220222117) 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, 2612734 + ... + 2617406.

It is an arithmetic number, because the mean of its divisors is an integer number (466196445).

Almost surely, 212220222110 is an apocalyptic number.

12220222110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12220222110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14918286240).

12220222110 is an abundant number, since it is smaller than the sum of its proper divisors (17616350370).

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

12220222110 is a wasteful number, since it uses less digits than its factorization.

12220222110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6173.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12220222110 its reverse (1122202221), we get a palindrome (13342424331).

The spelling of 12220222110 in words is "twelve billion, two hundred twenty million, two hundred twenty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 61 122 183 305 366 610 915 1429 1830 2858 4287 4673 7145 8574 9346 14019 14290 21435 23365 28038 42870 46730 70095 87169 140190 174338 261507 285053 435845 523014 570106 855159 871690 1307535 1425265 1710318 2615070 2850530 4275795 6677717 8551590 13355434 20033151 33388585 40066302 66777170 100165755 200331510 407340737 814681474 1222022211 2036703685 2444044422 4073407370 6110111055 12220222110