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1200323200000 = 21055375101
BaseRepresentation
bin10001011101111000110…
…101101000010000000000
311020202020120212101000211
4101131320311220100000
5124131230214400000
62315230523523504
7152502061600051
oct21357065502000
94222216771024
101200323200000
11423066177031
12174769989594
1389261549602
144214b41a728
152135327d7ba
hex11778d68400

1200323200000 has 132 divisors (see below), whose sum is σ = 2999158799364. Its totient is φ = 480128000000.

The previous prime is 1200323199961. The next prime is 1200323200001. The reversal of 1200323200000 is 23230021.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1167367880704 + 32955319296 = 1080448^2 + 181536^2 .

It is not an unprimeable number, because it can be changed into a prime (1200323200001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3012450 + ... + 3387550.

Almost surely, 21200323200000 is an apocalyptic number.

1200323200000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1200323200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499579399682).

1200323200000 is an abundant number, since it is smaller than the sum of its proper divisors (1798835599364).

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

1200323200000 is an frugal number, since it uses more digits than its factorization.

1200323200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375146 (or 375108 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 1200323200000 its reverse (23230021), we get a palindrome (1200346430021).

The spelling of 1200323200000 in words is "one trillion, two hundred billion, three hundred twenty-three million, two hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1024 1250 1280 1600 2000 2500 2560 3125 3200 4000 5000 5120 6250 6400 8000 10000 12500 12800 16000 20000 25000 25600 32000 40000 50000 64000 80000 100000 128000 160000 200000 320000 375101 400000 640000 750202 800000 1500404 1600000 1875505 3000808 3200000 3751010 6001616 7502020 9377525 12003232 15004040 18755050 24006464 30008080 37510100 46887625 48012928 60016160 75020200 93775250 96025856 120032320 150040400 187550500 192051712 234438125 240064640 300080800 375101000 384103424 468876250 480129280 600161600 750202000 937752500 960258560 1172190625 1200323200 1500404000 1875505000 1920517120 2344381250 2400646400 3000808000 3751010000 4688762500 4801292800 6001616000 7502020000 9377525000 9602585600 12003232000 15004040000 18755050000 24006464000 30008080000 37510100000 48012928000 60016160000 75020200000 120032320000 150040400000 240064640000 300080800000 600161600000 1200323200000