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120001220000 = 25546000061
BaseRepresentation
bin110111111000010100…
…0010100110110100000
3102110202002110121000122
41233300220110312200
53431230303020000
6131043334335412
711445512353154
oct1576050246640
9373662417018
10120001220000
114698a618792
121b3101ba568
13b41552376c
145b45583064
1531c5147085
hex1bf0a14da0

120001220000 has 60 divisors (see below), whose sum is σ = 295221050586. Its totient is φ = 48000480000.

The previous prime is 120001219853. The next prime is 120001220011. The reversal of 120001220000 is 22100021.

It can be written as a sum of positive squares in 5 ways, for example, as 7124035216 + 112877184784 = 84404^2 + 335972^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 120001220000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2980031 + ... + 3020030.

Almost surely, 2120001220000 is an apocalyptic number.

120001220000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120001220000 is an abundant number, since it is smaller than the sum of its proper divisors (175219830586).

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

120001220000 is an frugal number, since it uses more digits than its factorization.

120001220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6000091 (or 6000068 counting only the distinct ones).

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

Adding to 120001220000 its reverse (22100021), we get a palindrome (120023320021).

The spelling of 120001220000 in words is "one hundred twenty billion, one million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 20000 6000061 12000122 24000244 30000305 48000488 60000610 96000976 120001220 150001525 192001952 240002440 300003050 480004880 600006100 750007625 960009760 1200012200 1500015250 2400024400 3000030500 3750038125 4800048800 6000061000 7500076250 12000122000 15000152500 24000244000 30000305000 60000610000 120001220000