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12020144200 = 2352893531913
BaseRepresentation
bin10110011000111010…
…01101100001001000
31011000201000120222221
423030131031201020
5144104124103300
65304425223424
7603604353121
oct131435154110
934021016887
1012020144200
115109070279
1223b5631b74
13119739877c
14820583048
154a53ee31a
hex2cc74d848

12020144200 has 96 divisors (see below), whose sum is σ = 28355718600. Its totient is φ = 4738088960.

The previous prime is 12020144177. The next prime is 12020144233. The reversal of 12020144200 is 244102021.

It can be written as a sum of positive squares in 12 ways, for example, as 715776516 + 11304367684 = 26754^2 + 106322^2 .

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, 6282444 + ... + 6284356.

Almost surely, 212020144200 is an apocalyptic number.

12020144200 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 12020144200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14177859300).

12020144200 is an abundant number, since it is smaller than the sum of its proper divisors (16335574400).

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

12020144200 is a wasteful number, since it uses less digits than its factorization.

12020144200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2371 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 12020144200 its reverse (244102021), we get a palindrome (12264246221).

The spelling of 12020144200 in words is "twelve billion, twenty million, one hundred forty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 89 100 178 200 353 356 445 706 712 890 1412 1765 1780 1913 2225 2824 3530 3560 3826 4450 7060 7652 8825 8900 9565 14120 15304 17650 17800 19130 31417 35300 38260 47825 62834 70600 76520 95650 125668 157085 170257 191300 251336 314170 340514 382600 628340 675289 681028 785425 851285 1256680 1350578 1362056 1570850 1702570 2701156 3141700 3376445 3405140 4256425 5402312 6283400 6752890 6810280 8512850 13505780 16882225 17025700 27011560 33764450 34051400 60100721 67528900 120201442 135057800 240402884 300503605 480805768 601007210 1202014420 1502518025 2404028840 3005036050 6010072100 12020144200