Search a number
-
+
12003012300 = 223522310316889
BaseRepresentation
bin10110010110110111…
…10110111011001100
31010222111210012110010
423023123312323030
5144040232343200
65303014113220
7603305630646
oct131333667314
933874705403
1012003012300
1150aa429884
1223ab94b810
13119397a956
1481c1a3896
154a3b68150
hex2cb6f6ecc

12003012300 has 144 divisors (see below), whose sum is σ = 36592657920. Its totient is φ = 3031733760.

The previous prime is 12003012289. The next prime is 12003012319. The reversal of 12003012300 is 321030021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 702256 + ... + 719144.

It is an arithmetic number, because the mean of its divisors is an integer number (254115680).

Almost surely, 212003012300 is an apocalyptic number.

12003012300 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 12003012300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18296328960).

12003012300 is an abundant number, since it is smaller than the sum of its proper divisors (24589645620).

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

12003012300 is a wasteful number, since it uses less digits than its factorization.

12003012300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17032 (or 17025 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 12003012300 its reverse (321030021), we get a palindrome (12324042321).

The spelling of 12003012300 in words is "twelve billion, three million, twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 103 115 138 150 206 230 276 300 309 345 412 460 515 575 618 690 1030 1150 1236 1380 1545 1725 2060 2300 2369 2575 3090 3450 4738 5150 6180 6900 7107 7725 9476 10300 11845 14214 15450 16889 23690 28428 30900 33778 35535 47380 50667 59225 67556 71070 84445 101334 118450 142140 168890 177675 202668 236900 253335 337780 355350 388447 422225 506670 710700 776894 844450 1013340 1165341 1266675 1553788 1688900 1739567 1942235 2330682 2533350 3479134 3884470 4661364 5066700 5218701 5826705 6958268 7768940 8697835 9711175 10437402 11653410 17395670 19422350 20874804 23306820 26093505 29133525 34791340 38844700 40010041 43489175 52187010 58267050 80020082 86978350 104374020 116534100 120030123 130467525 160040164 173956700 200050205 240060246 260935050 400100410 480120492 521870100 600150615 800200820 1000251025 1200301230 2000502050 2400602460 3000753075 4001004100 6001506150 12003012300