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12122121022020 = 22335191181493277
BaseRepresentation
bin1011000001100110011010…
…1101111010101001000100
31120220212022110022210112000
42300121212231322221010
53042102100440201040
641440454151225300
72360536313405412
oct260314655725104
946825273283460
1012122121022020
113953a65326189
121439421978230
1369c15a145469
142dc9dc8c42b2
151604ce1e2130
hexb0666b7aa44

12122121022020 has 96 divisors (see below), whose sum is σ = 39698174140800. Its totient is φ = 3062430571392.

The previous prime is 12122121021979. The next prime is 12122121022027. The reversal of 12122121022020 is 2022012122121.

It is a happy number.

12122121022020 is a `hidden beast` number, since 1 + 212 + 2 + 1 + 210 + 220 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12122121021984 and 12122121022002.

It is not an unprimeable number, because it can be changed into a prime (12122121022027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 590736379 + ... + 590756898.

It is an arithmetic number, because the mean of its divisors is an integer number (413522647300).

Almost surely, 212122121022020 is an apocalyptic number.

12122121022020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122121022020 is an abundant number, since it is smaller than the sum of its proper divisors (27576053118780).

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

12122121022020 is a wasteful number, since it uses less digits than its factorization.

12122121022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181493314 (or 1181493306 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12122121022020 its reverse (2022012122121), we get a palindrome (14144133144141).

The spelling of 12122121022020 in words is "twelve trillion, one hundred twenty-two billion, one hundred twenty-one million, twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 90 95 108 114 135 171 180 190 228 270 285 342 380 513 540 570 684 855 1026 1140 1710 2052 2565 3420 5130 10260 1181493277 2362986554 3544479831 4725973108 5907466385 7088959662 10633439493 11814932770 14177919324 17722399155 21266878986 22448372263 23629865540 31900318479 35444798310 42533757972 44896744526 53167197465 63800636958 67345116789 70889596620 89793489052 106334394930 112241861315 127601273916 134690233578 159501592395 202035350367 212668789860 224483722630 269380467156 319003184790 336725583945 404070700734 448967445260 606106051101 638006369580 673451167890 808141401468 1010176751835 1212212102202 1346902335780 2020353503670 2424424204404 3030530255505 4040707007340 6061060511010 12122121022020