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12002022200 = 2352727730949
BaseRepresentation
bin10110010110110000…
…00101001100111000
31010222102220220021202
423023120011030320
5144040004202300
65302540553332
7603264335240
oct131330051470
933872826252
1012002022200
1150a9912a13
1223ab552848
1311936c20ac
1481bdc6b20
154a3a1ead5
hex2cb605338

12002022200 has 96 divisors (see below), whose sum is σ = 32007252000. Its totient is φ = 4099991040.

The previous prime is 12002022143. The next prime is 12002022233. The reversal of 12002022200 is 222020021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 372326 + ... + 403274.

It is an arithmetic number, because the mean of its divisors is an integer number (333408875).

Almost surely, 212002022200 is an apocalyptic number.

12002022200 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 12002022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16003626000).

12002022200 is an abundant number, since it is smaller than the sum of its proper divisors (20005229800).

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

12002022200 is a wasteful number, since it uses less digits than its factorization.

12002022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31249 (or 31240 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 12002022200 its reverse (222020021), we get a palindrome (12224042221).

The spelling of 12002022200 in words is "twelve billion, two million, twenty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 277 280 350 554 700 1108 1385 1400 1939 2216 2770 3878 5540 6925 7756 9695 11080 13850 15512 19390 27700 30949 38780 48475 55400 61898 77560 96950 123796 154745 193900 216643 247592 309490 387800 433286 618980 773725 866572 1083215 1237960 1547450 1733144 2166430 3094900 4332860 5416075 6189800 8572873 8665720 10832150 17145746 21664300 34291492 42864365 43328600 60010111 68582984 85728730 120020222 171457460 214321825 240040444 300050555 342914920 428643650 480080888 600101110 857287300 1200202220 1500252775 1714574600 2400404440 3000505550 6001011100 12002022200