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12122205300 = 22325217792301
BaseRepresentation
bin10110100101000101…
…00010110001110100
31011021211001211111200
423102202202301310
5144311241032200
65322512532500
7606254021262
oct132242426164
934254054450
1012122205300
11516073a297
122423851130
1311b258145a
1482dd4d432
154ae35e800
hex2d28a2c74

12122205300 has 108 divisors (see below), whose sum is σ = 40231510956. Its totient is φ = 3042432000.

The previous prime is 12122205299. The next prime is 12122205301. The reversal of 12122205300 is 350222121.

12122205300 is a `hidden beast` number, since 12 + 122 + 2 + 0 + 530 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12122205299) and next prime (12122205301).

It can be written as a sum of positive squares in 6 ways, for example, as 569395044 + 11552810256 = 23862^2 + 107484^2 .

It is a super-2 number, since 2×121222053002 (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122205301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 380851 + ... + 411450.

Almost surely, 212122205300 is an apocalyptic number.

12122205300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122205300 is an abundant number, since it is smaller than the sum of its proper divisors (28109305656).

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

12122205300 is a wasteful number, since it uses less digits than its factorization.

12122205300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792338 (or 792328 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 12122205300 its reverse (350222121), we get a palindrome (12472427421).

The spelling of 12122205300 in words is "twelve billion, one hundred twenty-two million, two hundred five thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 25 30 34 36 45 50 51 60 68 75 85 90 100 102 150 153 170 180 204 225 255 300 306 340 425 450 510 612 765 850 900 1020 1275 1530 1700 2550 3060 3825 5100 7650 15300 792301 1584602 2376903 3169204 3961505 4753806 7130709 7923010 9507612 11884515 13469117 14261418 15846020 19807525 23769030 26938234 28522836 35653545 39615050 40407351 47538060 53876468 59422575 67345585 71307090 79230100 80814702 118845150 121222053 134691170 142614180 161629404 178267725 202036755 237690300 242444106 269382340 336727925 356535450 404073510 484888212 606110265 673455850 713070900 808147020 1010183775 1212220530 1346911700 2020367550 2424441060 3030551325 4040735100 6061102650 12122205300