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1202122120080 = 243574791493839
BaseRepresentation
bin10001011111100100000…
…011111101101110010000
311020220212221211222110110
4101133210003331232100
5124143421230320310
62320125225001320
7152564464266030
oct21374403755620
94226787758413
101202122120080
114238a9663342
12174b90323240
138948a14bc6b
144227c2d18c0
152140b171d20
hex117e40fdb90

1202122120080 has 160 divisors (see below), whose sum is σ = 4267841126400. Its totient is φ = 274196952576.

The previous prime is 1202122120007. The next prime is 1202122120081. The reversal of 1202122120080 is 800212212021.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (1202122120081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57801 + ... + 1551639.

It is an arithmetic number, because the mean of its divisors is an integer number (26674007040).

Almost surely, 21202122120080 is an apocalyptic number.

1202122120080 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 1202122120080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2133920563200).

1202122120080 is an abundant number, since it is smaller than the sum of its proper divisors (3065719006320).

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

1202122120080 is a wasteful number, since it uses less digits than its factorization.

1202122120080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494341 (or 1494335 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The spelling of 1202122120080 in words is "one trillion, two hundred two billion, one hundred twenty-two million, one hundred twenty thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 479 560 840 958 1437 1680 1916 2395 2874 3353 3832 4790 5748 6706 7185 7664 9580 10059 11496 13412 14370 16765 19160 20118 22992 26824 28740 33530 38320 40236 50295 53648 57480 67060 80472 100590 114960 134120 160944 201180 268240 402360 804720 1493839 2987678 4481517 5975356 7469195 8963034 10456873 11950712 14938390 17926068 20913746 22407585 23901424 29876780 31370619 35852136 41827492 44815170 52284365 59753560 62741238 71704272 83654984 89630340 104568730 119507120 125482476 156853095 167309968 179260680 209137460 250964952 313706190 358521360 418274920 501929904 627412380 715548881 836549840 1254824760 1431097762 2146646643 2509649520 2862195524 3577744405 4293293286 5008842167 5724391048 7155488810 8586586572 10017684334 10733233215 11448782096 14310977620 15026526501 17173173144 20035368668 21466466430 25044210835 28621955240 30053053002 34346346288 40070737336 42932932860 50088421670 57243910480 60106106004 75132632505 80141474672 85865865720 100176843340 120212212008 150265265010 171731731440 200353686680 240424424016 300530530020 400707373360 601061060040 1202122120080