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212320560000 = 27354884669
BaseRepresentation
bin1100010110111101001…
…0101010001110000000
3202022000222120222111110
43011233102222032000
511434313030410000
6241312210243320
721224333661003
oct3055722521600
9668028528443
10212320560000
118205446a29a
1235195886540
13170389cca73
14a3c250553a
1557c9e15850
hex316f4aa380

212320560000 has 160 divisors (see below), whose sum is σ = 704745815400. Its totient is φ = 56618752000.

The previous prime is 212320559989. The next prime is 212320560007. The reversal of 212320560000 is 65023212.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212320560007) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 202335 + ... + 682334.

Almost surely, 2212320560000 is an apocalyptic number.

212320560000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212320560000 is an abundant number, since it is smaller than the sum of its proper divisors (492425255400).

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

212320560000 is an frugal number, since it uses more digits than its factorization.

212320560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884706 (or 884679 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 212320560000 its reverse (65023212), we get a palindrome (212385583212).

The spelling of 212320560000 in words is "two hundred twelve billion, three hundred twenty million, five hundred sixty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 625 640 750 800 960 1000 1200 1250 1500 1600 1875 1920 2000 2400 2500 3000 3200 3750 4000 4800 5000 6000 7500 8000 9600 10000 12000 15000 16000 20000 24000 30000 40000 48000 60000 80000 120000 240000 884669 1769338 2654007 3538676 4423345 5308014 7077352 8846690 10616028 13270035 14154704 17693380 21232056 22116725 26540070 28309408 35386760 42464112 44233450 53080140 56618816 66350175 70773520 84928224 88466900 106160280 110583625 113237632 132700350 141547040 169856448 176933800 212320560 221167250 265400700 283094080 331750875 339712896 353867600 424641120 442334500 530801400 552918125 566188160 663501750 707735200 849282240 884669000 1061602800 1105836250 1327003500 1415470400 1658754375 1698564480 1769338000 2123205600 2211672500 2654007000 2830940800 3317508750 3538676000 4246411200 4423345000 5308014000 6635017500 7077352000 8492822400 8846690000 10616028000 13270035000 14154704000 17693380000 21232056000 26540070000 35386760000 42464112000 53080140000 70773520000 106160280000 212320560000