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12022133133220 = 22572118110387369
BaseRepresentation
bin1010111011110001111011…
…1110011000111110100100
31120120022020010110202201021
42232330132332120332210
53033432312040230340
641322520335540524
72350366444361500
oct256743676307644
946508203422637
1012022133133220
113915615812441
121421b7808a744
136928b3cb6512
142d7c352d7300
1515cacb09ae4a
hexaef1ef98fa4

12022133133220 has 72 divisors (see below), whose sum is σ = 29393223987960. Its totient is φ = 4118383664640.

The previous prime is 12022133133211. The next prime is 12022133133277. The reversal of 12022133133220 is 2233133122021.

It can be written as a sum of positive squares in 4 ways, for example, as 6326502684516 + 5695630448704 = 2515254^2 + 2386552^2 .

It is a super-2 number, since 2×120221331332202 (a number of 27 digits) contains 22 as substring.

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, 4036305 + ... + 6351064.

It is an arithmetic number, because the mean of its divisors is an integer number (408239222055).

Almost surely, 212022133133220 is an apocalyptic number.

12022133133220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12022133133220 is an abundant number, since it is smaller than the sum of its proper divisors (17371090854740).

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

12022133133220 is a wasteful number, since it uses less digits than its factorization.

12022133133220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10388573 (or 10388564 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 12022133133220 its reverse (2233133122021), we get a palindrome (14255266255241).

The spelling of 12022133133220 in words is "twelve trillion, twenty-two billion, one hundred thirty-three million, one hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 1181 2362 4724 5905 8267 11810 16534 23620 33068 41335 57869 82670 115738 165340 231476 289345 578690 1157380 10387369 20774738 41549476 51936845 72711583 103873690 145423166 207747380 290846332 363557915 508981081 727115830 1017962162 1454231660 2035924324 2544905405 5089810810 10179621620 12267482789 24534965578 49069931156 61337413945 85872379523 122674827890 171744759046 245349655780 343489518092 429361897615 601106656661 858723795230 1202213313322 1717447590460 2404426626644 3005533283305 6011066566610 12022133133220