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20021222101120 = 275234728939093
BaseRepresentation
bin1001000110101100011011…
…10101001101000010000000
32121220000021101120221110221
410203112031311031002000
510111011430324213440
6110325342241232424
74134325355633542
oct443261565150200
977800241527427
1020021222101120
116419a52a18789
1222b42b6932714
13b22cbac20716
144d3064987692
1524abe8055d4a
hex12358dd4d080

20021222101120 has 128 divisors (see below), whose sum is σ = 51006889520640. Its totient is φ = 7497308442624.

The previous prime is 20021222100961. The next prime is 20021222101171. The reversal of 20021222101120 is 2110122212002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 20021222101094 and 20021222101103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13777707 + ... + 15161386.

It is an arithmetic number, because the mean of its divisors is an integer number (398491324380).

Almost surely, 220021222101120 is an apocalyptic number.

20021222101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20021222101120 is an abundant number, since it is smaller than the sum of its proper divisors (30985667419520).

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

20021222101120 is a wasteful number, since it uses less digits than its factorization.

20021222101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28939182 (or 28939170 counting only the distinct ones).

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

Adding to 20021222101120 its reverse (2110122212002), we get a palindrome (22131344313122).

The spelling of 20021222101120 in words is "twenty trillion, twenty-one billion, two hundred twenty-two million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 47 64 80 92 94 115 128 160 184 188 230 235 320 368 376 460 470 640 736 752 920 940 1081 1472 1504 1840 1880 2162 2944 3008 3680 3760 4324 5405 6016 7360 7520 8648 10810 14720 15040 17296 21620 30080 34592 43240 69184 86480 138368 172960 345920 691840 28939093 57878186 115756372 144695465 231512744 289390930 463025488 578781860 665599139 926050976 1157563720 1331198278 1360137371 1852101952 2315127440 2662396556 2720274742 3327995695 3704203904 4630254880 5324793112 5440549484 6655991390 6800686855 9260509760 10649586224 10881098968 13311982780 13601373710 18521019520 21299172448 21762197936 26623965560 27202747420 31283159533 42598344896 43524395872 53247931120 54405494840 62566319066 85196689792 87048791744 106495862240 108810989680 125132638132 156415797665 174097583488 212991724480 217621979360 250265276264 312831595330 425983448960 435243958720 500530552528 625663190660 870487917440 1001061105056 1251326381320 2002122210112 2502652762640 4004244420224 5005305525280 10010611050560 20021222101120