Search a number
-
+
121500023012000 = 2553269112918237
BaseRepresentation
bin11011101000000011101101…
…101101100011101010100000
3120221012021210111201022012022
4123220003231231203222200
5111411124021342341000
61110224201235521012
734410041556335123
oct3350035555435240
9527167714638168
10121500023012000
1135793963544886
1211763627a59168
1352a453153c639
1422008bd7aa3ba
15e0a763a48585
hex6e80edb63aa0

121500023012000 has 96 divisors (see below), whose sum is σ = 299635319627280. Its totient is φ = 48419339596800.

The previous prime is 121500023011993. The next prime is 121500023012033. The reversal of 121500023012000 is 210320005121.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 23593985028496 + 97906037983504 = 4857364^2 + 9894748^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 121500023012000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55383119 + ... + 57535118.

Almost surely, 2121500023012000 is an apocalyptic number.

121500023012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121500023012000 is an abundant number, since it is smaller than the sum of its proper divisors (178135296615280).

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

121500023012000 is a wasteful number, since it uses less digits than its factorization.

121500023012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112918531 (or 112918513 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

Adding to 121500023012000 its reverse (210320005121), we get a palindrome (121710343017121).

The spelling of 121500023012000 in words is "one hundred twenty-one trillion, five hundred billion, twenty-three million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 269 400 500 538 800 1000 1076 1345 2000 2152 2690 4000 4304 5380 6725 8608 10760 13450 21520 26900 33625 43040 53800 67250 107600 134500 215200 269000 538000 1076000 112918237 225836474 451672948 564591185 903345896 1129182370 1806691792 2258364740 2822955925 3613383584 4516729480 5645911850 9033458960 11291823700 14114779625 18066917920 22583647400 28229559250 30375005753 45167294800 56459118500 60750011506 90334589600 112918237000 121500023012 151875028765 225836474000 243000046024 303750057530 451672948000 486000092048 607500115060 759375143825 972000184096 1215000230120 1518750287650 2430000460240 3037500575300 3796875719125 4860000920480 6075001150600 7593751438250 12150002301200 15187502876500 24300004602400 30375005753000 60750011506000 121500023012000