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20122110220120 = 23517373797210631
BaseRepresentation
bin1001001001101000010110…
…01110110101011101011000
32122020122200110101101221221
410210310023032311131120
510114140040204020440
6110443545251541424
74144526435535346
oct444641316653530
978218613341857
1020122110220120
116458814700827
12230b971bba874
13b2c678726a5c
144d7cb5950996
1524d650221d4a
hex124d0b3b5758

20122110220120 has 128 divisors (see below), whose sum is σ = 49246789484160. Its totient is φ = 7368666439680.

The previous prime is 20122110220087. The next prime is 20122110220151. The reversal of 20122110220120 is 2102201122102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20122110220094 and 20122110220103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95427205 + ... + 95637835.

It is an arithmetic number, because the mean of its divisors is an integer number (384740542845).

Almost surely, 220122110220120 is an apocalyptic number.

20122110220120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20122110220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24623394742080).

20122110220120 is an abundant number, since it is smaller than the sum of its proper divisors (29124679264040).

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

20122110220120 is a wasteful number, since it uses less digits than its factorization.

20122110220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214493 (or 214489 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 20122110220120 its reverse (2102201122102), we get a palindrome (22224311342222).

The spelling of 20122110220120 in words is "twenty trillion, one hundred twenty-two billion, one hundred ten million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 37 40 68 74 85 136 148 170 185 296 340 370 629 680 740 1258 1480 2516 3145 3797 5032 6290 7594 12580 15188 18985 25160 30376 37970 64549 75940 129098 140489 151880 210631 258196 280978 322745 421262 516392 561956 645490 702445 842524 1053155 1123912 1290980 1404890 1685048 2106310 2388313 2581960 2809780 3580727 4212620 4776626 5619560 7161454 7793347 8425240 9553252 11941565 14322908 15586694 17903635 19106504 23883130 28645816 31173388 35807270 38966735 47766260 62346776 71614540 77933470 95532520 132486899 143229080 155866940 264973798 311733880 529947596 662434495 799765907 1059895192 1324868990 1599531814 2649737980 3199063628 3998829535 5299475960 6398127256 7997659070 13596020419 15995318140 27192040838 29591338559 31990636280 54384081676 59182677118 67980102095 108768163352 118365354236 135960204190 147956692795 236730708472 271920408380 295913385590 503052755503 543840816760 591826771180 1006105511006 1183653542360 2012211022012 2515263777515 4024422044024 5030527555030 10061055110060 20122110220120