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121004442240 = 2735115729377
BaseRepresentation
bin111000010110001101…
…1010100001010000000
3102120100000012120012220
41300230123110022000
53440304114122430
6131331053051040
711512413534303
oct1605433241200
9376300176186
10121004442240
1147354942480
121b550186a80
13b54531b4a6
145bdc8ccb3a
153233263110
hex1c2c6d4280

121004442240 has 128 divisors (see below), whose sum is σ = 420765520320. Its totient is φ = 29334405120.

The previous prime is 121004442179. The next prime is 121004442257. The reversal of 121004442240 is 42244400121.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 121004442240.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2843569 + ... + 2885808.

Almost surely, 2121004442240 is an apocalyptic number.

121004442240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121004442240 is an abundant number, since it is smaller than the sum of its proper divisors (299761078080).

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

121004442240 is a wasteful number, since it uses less digits than its factorization.

121004442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5729410 (or 5729398 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 121004442240 its reverse (42244400121), we get a palindrome (163248842361).

The spelling of 121004442240 in words is "one hundred twenty-one billion, four million, four hundred forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 480 528 640 660 704 880 960 1056 1320 1408 1760 1920 2112 2640 3520 4224 5280 7040 10560 21120 5729377 11458754 17188131 22917508 28646885 34376262 45835016 57293770 63023147 68752524 85940655 91670032 114587540 126046294 137505048 171881310 183340064 189069441 229175080 252092588 275010096 315115735 343762620 366680128 378138882 458350160 504185176 550020192 630231470 687525240 733360256 756277764 916700320 945347205 1008370352 1100040384 1260462940 1375050480 1512555528 1833400640 1890694410 2016740704 2200080768 2520925880 2750100960 3025111056 3666801280 3781388820 4033481408 5041851760 5500201920 6050222112 7562777640 8066962816 10083703520 11000403840 12100444224 15125555280 20167407040 24200888448 30251110560 40334814080 60502221120 121004442240