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20012344131200 = 275217367873973
BaseRepresentation
bin1001000110011011111001…
…01010011011111010000000
32121212011100200010100021012
410203031330222123322000
510110340240044144300
6110321313255420052
74133562354300401
oct443157452337200
977764320110235
1020012344131200
1164162075a5563
1222b2639684628
13b22204828395
144d28618599a8
1524a878931435
hex12337ca9be80

20012344131200 has 96 divisors (see below), whose sum is σ = 52344787760460. Its totient is φ = 7534058946560.

The previous prime is 20012344131187. The next prime is 20012344131223. The reversal of 20012344131200 is 213144321002.

It can be written as a sum of positive squares in 6 ways, for example, as 15295420396096 + 4716923735104 = 3910936^2 + 2171848^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 183882587 + ... + 183991386.

Almost surely, 220012344131200 is an apocalyptic number.

20012344131200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20012344131200 is an abundant number, since it is smaller than the sum of its proper divisors (32332443629260).

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

20012344131200 is a wasteful number, since it uses less digits than its factorization.

20012344131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367874014 (or 367873997 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 20012344131200 its reverse (213144321002), we get a palindrome (20225488452202).

The spelling of 20012344131200 in words is "twenty trillion, twelve billion, three hundred forty-four million, one hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 128 136 160 170 200 272 320 340 400 425 544 640 680 800 850 1088 1360 1600 1700 2176 2720 3200 3400 5440 6800 10880 13600 27200 54400 367873973 735747946 1471495892 1839369865 2942991784 3678739730 5885983568 6253857541 7357479460 9196849325 11771967136 12507715082 14714958920 18393698650 23543934272 25015430164 29429917840 31269287705 36787397300 47087868544 50030860328 58859835680 62538575410 73574794600 100061720656 117719671360 125077150820 147149589200 156346438525 200123441312 235439342720 250154301640 294299178400 312692877050 400246882624 500308603280 588598356800 625385754100 800493765248 1000617206560 1177196713600 1250771508200 2001234413120 2501543016400 4002468826240 5003086032800 10006172065600 20012344131200