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12133320200 = 23521927711527
BaseRepresentation
bin10110100110011001…
…11100011000001000
31011022120222112021122
423103030330120020
5144322112221300
65323551054412
7606450343241
oct132314743010
934276875248
1012133320200
115166a41061
122427511408
1311b4973611
14831603cc8
154b0307c85
hex2d333c608

12133320200 has 96 divisors (see below), whose sum is σ = 29804491200. Its totient is φ = 4580893440.

The previous prime is 12133320187. The next prime is 12133320233. The reversal of 12133320200 is 202333121.

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, 1046837 + ... + 1058363.

It is an arithmetic number, because the mean of its divisors is an integer number (310463450).

Almost surely, 212133320200 is an apocalyptic number.

12133320200 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 12133320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14902245600).

12133320200 is an abundant number, since it is smaller than the sum of its proper divisors (17671171000).

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

12133320200 is a wasteful number, since it uses less digits than its factorization.

12133320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11839 (or 11830 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 12133320200 its reverse (202333121), we get a palindrome (12335653321).

The spelling of 12133320200 in words is "twelve billion, one hundred thirty-three million, three hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 277 380 475 554 760 950 1108 1385 1900 2216 2770 3800 5263 5540 6925 10526 11080 11527 13850 21052 23054 26315 27700 42104 46108 52630 55400 57635 92216 105260 115270 131575 210520 219013 230540 263150 288175 438026 461080 526300 576350 876052 1052600 1095065 1152700 1752104 2190130 2305400 3192979 4380260 5475325 6385958 8760520 10950650 12771916 15964895 21901300 25543832 31929790 43802600 60666601 63859580 79824475 121333202 127719160 159648950 242666404 303333005 319297900 485332808 606666010 638595800 1213332020 1516665025 2426664040 3033330050 6066660100 12133320200