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120021201000 = 23325313335689
BaseRepresentation
bin110111111000111010…
…0100011000001101000
3102110210111001201210200
41233301310203001220
53431300411413000
6131045330512200
711446144242621
oct1576164430150
9373714051720
10120021201000
114699a925808
121b316a35660
13b4196cb33c
145b480a4a48
1531c6c92500
hex1bf1d23068

120021201000 has 96 divisors (see below), whose sum is σ = 405671689800. Its totient is φ = 32005651200.

The previous prime is 120021200983. The next prime is 120021201007. The reversal of 120021201000 is 102120021.

It can be written as a sum of positive squares in 4 ways, for example, as 6426587556 + 113594613444 = 80166^2 + 337038^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (120021201007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6658845 + ... + 6676844.

Almost surely, 2120021201000 is an apocalyptic number.

120021201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120021201000 is an abundant number, since it is smaller than the sum of its proper divisors (285650488800).

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

120021201000 is a wasteful number, since it uses less digits than its factorization.

120021201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13335716 (or 13335699 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 120021201000 its reverse (102120021), we get a palindrome (120123321021).

The spelling of 120021201000 in words is "one hundred twenty billion, twenty-one million, two hundred one thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 13335689 26671378 40007067 53342756 66678445 80014134 106685512 120021201 133356890 160028268 200035335 240042402 266713780 320056536 333392225 400070670 480084804 533427560 600106005 666784450 800141340 960169608 1000176675 1200212010 1333568900 1600282680 1666961125 2000353350 2400424020 2667137800 3000530025 3333922250 4000706700 4800848040 5000883375 6001060050 6667844500 8001413400 10001766750 12002120100 13335689000 15002650125 20003533500 24004240200 30005300250 40007067000 60010600500 120021201000