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21120221202120 = 23325175333466789
BaseRepresentation
bin1001100110101011011110…
…10010000100011011001000
32202210001222112021202220100
410303111233102010123020
510232013203111431440
6112530255022125400
74306612525104315
oct463255722043310
982701875252810
1021120221202120
1168030432a1517
1224512a7420860
13ba2822535561
1453031d14bd0c
152695babe9230
hex13356f4846c8

21120221202120 has 96 divisors (see below), whose sum is σ = 68679877102200. Its totient is φ = 5628846007296.

The previous prime is 21120221202089. The next prime is 21120221202161. The reversal of 21120221202120 is 2120212202112.

It is a happy number.

21120221202120 is a `hidden beast` number, since 2 + 1 + 120 + 221 + 202 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17103700178244 + 4016521023876 = 4135662^2 + 2004126^2 .

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 = 21120221202093 and 21120221202102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16102315 + ... + 17364474.

Almost surely, 221120221202120 is an apocalyptic number.

21120221202120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21120221202120 is an abundant number, since it is smaller than the sum of its proper divisors (47559655900080).

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

21120221202120 is a wasteful number, since it uses less digits than its factorization.

21120221202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33468559 (or 33468552 counting only the distinct ones).

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

Adding to 21120221202120 its reverse (2120212202112), we get a palindrome (23240433404232).

The spelling of 21120221202120 in words is "twenty-one trillion, one hundred twenty billion, two hundred twenty-one million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1753 3506 5259 7012 8765 10518 14024 15777 17530 21036 26295 31554 35060 42072 52590 63108 70120 78885 105180 126216 157770 210360 315540 631080 33466789 66933578 100400367 133867156 167333945 200800734 267734312 301201101 334667890 401601468 502001835 602402202 669335780 803202936 1004003670 1204804404 1338671560 1506005505 2008007340 2409608808 3012011010 4016014680 6024022020 12048044040 58667281117 117334562234 176001843351 234669124468 293336405585 352003686702 469338248936 528005530053 586672811170 704007373404 880009216755 1056011060106 1173345622340 1408014746808 1760018433510 2112022120212 2346691244680 2640027650265 3520036867020 4224044240424 5280055300530 7040073734040 10560110601060 21120221202120