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12111202220 = 225131710192689
BaseRepresentation
bin10110100011110001…
…00100011110101100
31011021001100211010012
423101320210132230
5144300431432340
65321441032352
7606061343315
oct132170443654
934231324105
1012111202220
115155504537
1224200256b8
1311b01cb160
1482c6c760c
154ad3d9565
hex2d1e247ac

12111202220 has 96 divisors (see below), whose sum is σ = 29040379200. Its totient is φ = 4203085824.

The previous prime is 12111202211. The next prime is 12111202231. The reversal of 12111202220 is 2220211121.

12111202220 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 = 12111202195 and 12111202204.

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 31 ways as a sum of consecutive naturals, for example, 4502636 + ... + 4505324.

It is an arithmetic number, because the mean of its divisors is an integer number (302503950).

Almost surely, 212111202220 is an apocalyptic number.

12111202220 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 12111202220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14520189600).

12111202220 is an abundant number, since it is smaller than the sum of its proper divisors (16929176980).

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

12111202220 is a wasteful number, since it uses less digits than its factorization.

12111202220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3747 (or 3745 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12111202220 its reverse (2220211121), we get a palindrome (14331413341).

The spelling of 12111202220 in words is "twelve billion, one hundred eleven million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 884 1019 1105 2038 2210 2689 4076 4420 5095 5378 10190 10756 13247 13445 17323 20380 26494 26890 34646 34957 45713 52988 53780 66235 69292 69914 86615 91426 132470 139828 173230 174785 182852 225199 228565 264940 346460 349570 450398 457130 594269 699140 900796 914260 1125995 1188538 2251990 2377076 2740091 2971345 4503980 5480182 5942690 10960364 11885380 13700455 27400910 35621183 46581547 54801820 71242366 93163094 142484732 178105915 186326188 232907735 356211830 465815470 605560111 712423660 931630940 1211120222 2422240444 3027800555 6055601110 12111202220