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12444200311224 = 233112711291134731
BaseRepresentation
bin1011010100010110010000…
…1000111001100110111000
31122001122122201022221002010
42311011210020321212320
53112341210234424344
642244441532205520
72423030612242443
oct265054410714670
948048581287063
1012444200311224
113a68612724230
12148b9296098a0
136c3638367a26
1431043412665a
15168a7ee428b9
hexb51642399b8

12444200311224 has 128 divisors (see below), whose sum is σ = 34090602024960. Its totient is φ = 3754116720000.

The previous prime is 12444200311199. The next prime is 12444200311253. The reversal of 12444200311224 is 42211300244421.

It is a junction number, because it is equal to n+sod(n) for n = 12444200311191 and 12444200311200.

It is a congruent number.

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, 92295939 + ... + 92430669.

It is an arithmetic number, because the mean of its divisors is an integer number (266332828320).

Almost surely, 212444200311224 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 12444200311224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17045301012480).

12444200311224 is an abundant number, since it is smaller than the sum of its proper divisors (21646401713736).

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

12444200311224 is a wasteful number, since it uses less digits than its factorization.

12444200311224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136313 (or 136309 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 12444200311224 its reverse (42211300244421), we get a palindrome (54655500555645).

The spelling of 12444200311224 in words is "twelve trillion, four hundred forty-four billion, two hundred million, three hundred eleven thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 271 542 813 1084 1291 1626 2168 2582 2981 3252 3873 5164 5962 6504 7746 8943 10328 11924 14201 15492 17886 23848 28402 30984 35772 42603 56804 71544 85206 113608 134731 170412 269462 340824 349861 404193 538924 699722 808386 1049583 1077848 1399444 1482041 1616772 2099166 2798888 2964082 3233544 3848471 4198332 4446123 5928164 7696942 8396664 8892246 11545413 11856328 15393884 17784492 23090826 30787768 35568984 36512101 46181652 73024202 92363304 109536303 146048404 173937721 219072606 292096808 347875442 401633111 438145212 521813163 695750884 803266222 876290424 1043626326 1204899333 1391501768 1606532444 1913314931 2087252652 2409798666 3213064888 3826629862 4174505304 4819597332 5739944793 7653259724 9639194664 11479889586 15306519448 22959779172 45919558344 47137122391 94274244782 141411367173 188548489564 282822734346 377096979128 518508346301 565645468692 1037016692602 1131290937384 1555525038903 2074033385204 3111050077806 4148066770408 6222100155612 12444200311224