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12000012200 = 23521122923819
BaseRepresentation
bin10110010110100000…
…11010011110101000
31010222022010210002022
423023100122132220
5144034000342300
65302425524012
7603241264211
oct131320323650
933868123068
1012000012200
1150a876a860
1223aa943608
13119316a247
1481ba22408
154a3774285
hex2cb41a7a8

12000012200 has 96 divisors (see below), whose sum is σ = 30570588000. Its totient is φ = 4344403200.

The previous prime is 12000012181. The next prime is 12000012289. The reversal of 12000012200 is 221000021.

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 491891 + ... + 515709.

It is an arithmetic number, because the mean of its divisors is an integer number (318443625).

Almost surely, 212000012200 is an apocalyptic number.

12000012200 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 12000012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15285294000).

12000012200 is an abundant number, since it is smaller than the sum of its proper divisors (18570575800).

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

12000012200 is a wasteful number, since it uses less digits than its factorization.

12000012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24075 (or 24066 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 12000012200 its reverse (221000021), we get a palindrome (12221012221).

The spelling of 12000012200 in words is "twelve billion, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 229 275 440 458 550 916 1100 1145 1832 2200 2290 2519 4580 5038 5725 9160 10076 11450 12595 20152 22900 23819 25190 45800 47638 50380 62975 95276 100760 119095 125950 190552 238190 251900 262009 476380 503800 524018 595475 952760 1048036 1190950 1310045 2096072 2381900 2620090 4763800 5240180 5454551 6550225 10480360 10909102 13100450 21818204 26200900 27272755 43636408 52401800 54545510 60000061 109091020 120000122 136363775 218182040 240000244 272727550 300000305 480000488 545455100 600000610 1090910200 1200001220 1500001525 2400002440 3000003050 6000006100 12000012200