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12122331300 = 22325213469257
BaseRepresentation
bin10110100101000110…
…00001100010100100
31011021211022020100100
423102203001202210
5144311304100200
65322515344100
7606255054522
oct132243014244
934254266310
1012122331300
115160815a22
1224238b2030
1311b25c6901
1482dd83312
154ae386d00
hex2d28c18a4

12122331300 has 54 divisors (see below), whose sum is σ = 37996776818. Its totient is φ = 3232621440.

The previous prime is 12122331269. The next prime is 12122331301. The reversal of 12122331300 is 313322121.

12122331300 is a `hidden beast` number, since 12 + 1 + 22 + 331 + 300 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 113678244 + 12008653056 = 10662^2 + 109584^2 .

It is a super-2 number, since 2×121223313002 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12122331301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6733729 + ... + 6735528.

Almost surely, 212122331300 is an apocalyptic number.

12122331300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122331300 is an abundant number, since it is smaller than the sum of its proper divisors (25874445518).

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

12122331300 is a wasteful number, since it uses less digits than its factorization.

12122331300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13469277 (or 13469267 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12122331300 its reverse (313322121), we get a palindrome (12435653421).

The spelling of 12122331300 in words is "twelve billion, one hundred twenty-two million, three hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 13469257 26938514 40407771 53877028 67346285 80815542 121223313 134692570 161631084 202038855 242446626 269385140 336731425 404077710 484893252 606116565 673462850 808155420 1010194275 1212233130 1346925700 2020388550 2424466260 3030582825 4040777100 6061165650 12122331300