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12020043313440 = 2532515975226833
BaseRepresentation
bin1010111011101010001001…
…1010010111000100100000
31120120002211111002220220200
42232322202122113010200
53033414022042012230
641321533123505200
72350263610244451
oct256724232270440
946502744086820
1012020043313440
1139147430a7958
121421694228200
13692640051276
142d7ab793b128
1515ca07895160
hexaeea2697120

12020043313440 has 144 divisors (see below), whose sum is σ = 41044090317048. Its totient is φ = 3203337166848.

The previous prime is 12020043313433. The next prime is 12020043313451. The reversal of 12020043313440 is 4431334002021.

12020043313440 is a `hidden beast` number, since 1 + 2 + 0 + 200 + 4 + 3 + 3 + 13 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3887348516496 + 8132694796944 = 1971636^2 + 2851788^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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, 313737 + ... + 4913096.

Almost surely, 212020043313440 is an apocalyptic number.

12020043313440 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 12020043313440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20522045158524).

12020043313440 is an abundant number, since it is smaller than the sum of its proper divisors (29024047003608).

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

12020043313440 is a wasteful number, since it uses less digits than its factorization.

12020043313440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5228451 (or 5228440 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 12020043313440 its reverse (4431334002021), we get a palindrome (16451377315461).

The spelling of 12020043313440 in words is "twelve trillion, twenty billion, forty-three million, three hundred thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 1597 3194 4791 6388 7985 9582 12776 14373 15970 19164 23955 25552 28746 31940 38328 47910 51104 57492 63880 71865 76656 95820 114984 127760 143730 153312 191640 229968 255520 287460 383280 459936 574920 766560 1149840 2299680 5226833 10453666 15680499 20907332 26134165 31360998 41814664 47041497 52268330 62721996 78402495 83629328 94082994 104536660 125443992 156804990 167258656 188165988 209073320 235207485 250887984 313609980 376331976 418146640 470414970 501775968 627219960 752663952 836293280 940829940 1254439920 1505327904 1881659880 2508879840 3763319760 7526639520 8347252301 16694504602 25041756903 33389009204 41736261505 50083513806 66778018408 75125270709 83472523010 100167027612 125208784515 133556036816 150250541418 166945046020 200334055224 250417569030 267112073632 300501082836 333890092040 375626353545 400668110448 500835138060 601002165672 667780184080 751252707090 801336220896 1001670276120 1202004331344 1335560368160 1502505414180 2003340552240 2404008662688 3005010828360 4006681104480 6010021656720 12020043313440