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12231003200 = 265213245233
BaseRepresentation
bin10110110010000011…
…00100110001000000
31011120101210100011112
423121001210301000
5200022114100300
65341400502452
7612044545313
oct133101446100
934511710145
1012231003200
11520709a809
12245417aa28
1311cbc85600
1484059097a
154b8ba0e35
hex2d9064c40

12231003200 has 126 divisors (see below), whose sum is σ = 32589785214. Its totient is φ = 4515962880.

The previous prime is 12231003193. The next prime is 12231003259. The reversal of 12231003200 is 230013221.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 4042925056 + 8188078144 = 63584^2 + 90488^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 247784 + ... + 293016.

It is an arithmetic number, because the mean of its divisors is an integer number (258649089).

Almost surely, 212231003200 is an apocalyptic number.

12231003200 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 12231003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16294892607).

12231003200 is an abundant number, since it is smaller than the sum of its proper divisors (20358782014).

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

12231003200 is a wasteful number, since it uses less digits than its factorization.

12231003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45281 (or 45253 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 12231003200 its reverse (230013221), we get a palindrome (12461016421).

The spelling of 12231003200 in words is "twelve billion, two hundred thirty-one million, three thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 130 160 169 200 208 260 320 325 338 400 416 520 650 676 800 832 845 1040 1300 1352 1600 1690 2080 2600 2704 3380 4160 4225 5200 5408 6760 8450 10400 10816 13520 16900 20800 27040 33800 45233 54080 67600 90466 135200 180932 226165 270400 361864 452330 588029 723728 904660 1130825 1176058 1447456 1809320 2261650 2352116 2894912 2940145 3618640 4523300 4704232 5880290 7237280 7644377 9046600 9408464 11760580 14474560 14700725 15288754 18093200 18816928 23521160 29401450 30577508 36186400 37633856 38221885 47042320 58802900 61155016 72372800 76443770 94084640 117605800 122310032 152887540 188169280 191109425 235211600 244620064 305775080 382218850 470423200 489240128 611550160 764437700 940846400 1223100320 1528875400 2446200640 3057750800 6115501600 12231003200