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22020121011200 = 210521366166229
BaseRepresentation
bin1010000000110111101010…
…11111011010010000000000
32212222002210002112122000212
411000123311133122100000
510341234201434324300
6114455523130133252
74431621061216124
oct500336537322000
985862702478025
1022020121011200
11701a75427a3a4
122577791b81228
13c39647311ca0
14561acb0d3584
15282bd9534935
hex1406f57da400

22020121011200 has 132 divisors (see below), whose sum is σ = 58781946399540. Its totient is φ = 8130506096640.

The previous prime is 22020121011149. The next prime is 22020121011209. The reversal of 22020121011200 is 211012102022.

It can be written as a sum of positive squares in 6 ways, for example, as 1991846723584 + 20028274287616 = 1411328^2 + 4475296^2 .

It is not an unprimeable number, because it can be changed into a prime (22020121011209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32750315 + ... + 33415914.

Almost surely, 222020121011200 is an apocalyptic number.

22020121011200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22020121011200 is an abundant number, since it is smaller than the sum of its proper divisors (36761825388340).

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

22020121011200 is a wasteful number, since it uses less digits than its factorization.

22020121011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66166272 (or 66166249 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22020121011200 its reverse (211012102022), we get a palindrome (22231133113222).

The spelling of 22020121011200 in words is "twenty-two trillion, twenty billion, one hundred twenty-one million, eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 128 130 160 200 208 256 260 320 325 400 416 512 520 640 650 800 832 1024 1040 1280 1300 1600 1664 2080 2560 2600 3200 3328 4160 5120 5200 6400 6656 8320 10400 12800 13312 16640 20800 25600 33280 41600 66560 83200 166400 332800 66166229 132332458 264664916 330831145 529329832 661662290 860160977 1058659664 1323324580 1654155725 1720321954 2117319328 2646649160 3308311450 3440643908 4234638656 4300804885 5293298320 6616622900 6881287816 8469277312 8601609770 10586596640 13233245800 13762575632 16938554624 17203219540 21173193280 21504024425 26466491600 27525151264 33877109248 34406439080 42346386560 43008048850 52932983200 55050302528 67754218496 68812878160 84692773120 86016097700 105865966400 110100605056 137625756320 169385546240 172032195400 211731932800 220201210112 275251512640 338771092480 344064390800 423463865600 440402420224 550503025280 688128781600 846927731200 880804840448 1101006050560 1376257563200 1693855462400 2202012101120 2752515126400 4404024202240 5505030252800 11010060505600 22020121011200