Search a number
-
+
20000121221200 = 2452433115474141
BaseRepresentation
bin1001000110000101001000…
…00111101111000001010000
32121210222210211120011212211
410203002210013233001100
510110140222013034300
6110311532344201504
74132650435260311
oct443024407570120
977728724504784
1020000121221200
11641100503334a
1222b01a8169294
13b21007447763
144d20223b4608
1524a3b082d4ba
hex1230a41ef050

20000121221200 has 60 divisors (see below), whose sum is σ = 48161262300508. Its totient is φ = 7981572556800.

The previous prime is 20000121221191. The next prime is 20000121221233. The reversal of 20000121221200 is 212212100002.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3651813984784 + 16348307236416 = 1910972^2 + 4043304^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 57563871 + ... + 57910270.

Almost surely, 220000121221200 is an apocalyptic number.

20000121221200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20000121221200 is an abundant number, since it is smaller than the sum of its proper divisors (28161141079308).

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

20000121221200 is a wasteful number, since it uses less digits than its factorization.

20000121221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115474592 (or 115474581 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20000121221200 its reverse (212212100002), we get a palindrome (20212333321202).

The spelling of 20000121221200 in words is "twenty trillion, one hundred twenty-one million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 433 866 1732 2165 3464 4330 6928 8660 10825 17320 21650 34640 43300 86600 173200 115474141 230948282 461896564 577370705 923793128 1154741410 1847586256 2309482820 2886853525 4618965640 5773707050 9237931280 11547414100 23094828200 46189656400 50000303053 100000606106 200001212212 250001515265 400002424424 500003030530 800004848848 1000006061060 1250007576325 2000012122120 2500015152650 4000024244240 5000030305300 10000060610600 20000121221200