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120021313330000 = 245414980551217
BaseRepresentation
bin11011010010100010100011…
…101111110001101101010000
3120201221220222200120101021001
4123102202203233301231100
5111212412122203030000
61103133010303311344
734165153013410405
oct3322424357615520
9521856880511231
10120021313330000
1135273831475525
1211564b26bab554
1351c7c65c28a44
14218d0c39462ac
15dd206a84646a
hex6d28a3bf1b50

120021313330000 has 100 divisors (see below), whose sum is σ = 292533830849700. Its totient is φ = 47686319872000.

The previous prime is 120021313329997. The next prime is 120021313330073. The reversal of 120021313330000 is 33313120021.

It can be written as a sum of positive squares in 10 ways, for example, as 119998791724816 + 22521605184 = 10954396^2 + 150072^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a self number, because there is not a number n which added to its sum of digits gives 120021313330000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 38785609 + ... + 41765608.

It is an arithmetic number, because the mean of its divisors is an integer number (2925338308497).

Almost surely, 2120021313330000 is an apocalyptic number.

120021313330000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120021313330000 is an abundant number, since it is smaller than the sum of its proper divisors (172512517519700).

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

120021313330000 is an equidigital number, since it uses as much as digits as its factorization.

120021313330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80551394 (or 80551373 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 120021313330000 its reverse (33313120021), we get a palindrome (120054626450021).

The spelling of 120021313330000 in words is "one hundred twenty trillion, twenty-one billion, three hundred thirteen million, three hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 149 200 250 298 400 500 596 625 745 1000 1192 1250 1490 2000 2384 2500 2980 3725 5000 5960 7450 10000 11920 14900 18625 29800 37250 59600 74500 93125 149000 186250 298000 372500 745000 1490000 80551217 161102434 322204868 402756085 644409736 805512170 1288819472 1611024340 2013780425 3222048680 4027560850 6444097360 8055121700 10068902125 12002131333 16110243400 20137804250 24004262666 32220486800 40275608500 48008525332 50344510625 60010656665 80551217000 96017050664 100689021250 120021313330 161102434000 192034101328 201378042500 240042626660 300053283325 402756085000 480085253320 600106566650 805512170000 960170506640 1200213133300 1500266416625 2400426266600 3000532833250 4800852533200 6001065666500 7501332083125 12002131333000 15002664166250 24004262666000 30005328332500 60010656665000 120021313330000