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12200131344 = 24319312271901
BaseRepresentation
bin10110101110010111…
…10011101100010000
31011111020200212221110
423113023303230100
5144441213200334
65334335053320
7611221256022
oct132713635420
934436625843
1012200131344
1151a0724285
122445971240
1311c576683b
1483a436012
154b6103ae9
hex2d72f3b10

12200131344 has 160 divisors (see below), whose sum is σ = 34414940160. Its totient is φ = 3710016000.

The previous prime is 12200131327. The next prime is 12200131357. The reversal of 12200131344 is 44313100221.

It is a self number, because there is not a number n which added to its sum of digits gives 12200131344.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6416794 + ... + 6418694.

It is an arithmetic number, because the mean of its divisors is an integer number (215093376).

Almost surely, 212200131344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12200131344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17207470080).

12200131344 is an abundant number, since it is smaller than the sum of its proper divisors (22214808816).

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

12200131344 is a wasteful number, since it uses less digits than its factorization.

12200131344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2189 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 12200131344 its reverse (44313100221), we get a palindrome (56513231565).

The spelling of 12200131344 in words is "twelve billion, two hundred million, one hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 38 48 57 62 76 93 114 124 152 186 227 228 248 304 372 454 456 496 589 681 744 908 912 1178 1362 1488 1767 1816 1901 2356 2724 3534 3632 3802 4313 4712 5448 5703 7037 7068 7604 8626 9424 10896 11406 12939 14074 14136 15208 17252 21111 22812 25878 28148 28272 30416 34504 36119 42222 45624 51756 56296 58931 69008 72238 84444 91248 103512 108357 112592 117862 133703 144476 168888 176793 207024 216714 235724 267406 288952 337776 353586 401109 431527 433428 471448 534812 577904 707172 802218 863054 866856 942896 1069624 1119689 1294581 1414344 1604436 1726108 1733712 2139248 2239378 2589162 2828688 3208872 3359067 3452216 4478756 5178324 6417744 6718134 6904432 8199013 8957512 10356648 13377337 13436268 16398026 17915024 20713296 24597039 26754674 26872536 32796052 40132011 49194078 53509348 53745072 65592104 80264022 98388156 107018696 131184208 160528044 196776312 214037392 254169403 321056088 393552624 508338806 642112176 762508209 1016677612 1525016418 2033355224 3050032836 4066710448 6100065672 12200131344