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12000222300 = 223521123315607
BaseRepresentation
bin10110010110100010…
…01101110001011100
31010222022112110021210
423023101031301130
5144034024103200
65302434224420
7603243130563
oct131321156134
933868473253
1012000222300
1150a88a36a0
1223aaa25110
131193211a71
1481ba78bda
154a37b6650
hex2cb44dc5c

12000222300 has 144 divisors (see below), whose sum is σ = 38042065152. Its totient is φ = 2896473600.

The previous prime is 12000222287. The next prime is 12000222379. The reversal of 12000222300 is 322200021.

12000222300 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 (12).

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 47 ways as a sum of consecutive naturals, for example, 761097 + ... + 776703.

It is an arithmetic number, because the mean of its divisors is an integer number (264181008).

Almost surely, 212000222300 is an apocalyptic number.

12000222300 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 12000222300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19021032576).

12000222300 is an abundant number, since it is smaller than the sum of its proper divisors (26041842852).

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

12000222300 is a wasteful number, since it uses less digits than its factorization.

12000222300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15868 (or 15861 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 12000222300 its reverse (322200021), we get a palindrome (12322422321).

The spelling of 12000222300 in words is "twelve billion, two hundred twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 233 275 300 330 466 550 660 699 825 932 1100 1165 1398 1650 2330 2563 2796 3300 3495 4660 5126 5825 6990 7689 10252 11650 12815 13980 15378 15607 17475 23300 25630 30756 31214 34950 38445 46821 51260 62428 64075 69900 76890 78035 93642 128150 153780 156070 171677 187284 192225 234105 256300 312140 343354 384450 390175 468210 515031 686708 768900 780350 858385 936420 1030062 1170525 1560700 1716770 2060124 2341050 2575155 3433540 3636431 4291925 4682100 5150310 7272862 8583850 10300620 10909293 12875775 14545724 17167700 18182155 21818586 25751550 36364310 40000741 43637172 51503100 54546465 72728620 80001482 90910775 109092930 120002223 160002964 181821550 200003705 218185860 240004446 272732325 363643100 400007410 480008892 545464650 600011115 800014820 1000018525 1090929300 1200022230 2000037050 2400044460 3000055575 4000074100 6000111150 12000222300