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12122331000020 = 22518118169184309
BaseRepresentation
bin1011000001100111001100…
…1110111010110011010100
31120220212212002102210011222
42300121303032322303110
53042103013214000040
641440531051545512
72360544443241233
oct260316316726324
946825762383158
1012122331000020
11395406290381a
12143948015b298
1369c1917b42b7
142dca1c742b1a
151604e286cbb5
hexb06733bacd4

12122331000020 has 48 divisors (see below), whose sum is σ = 25599088678800. Its totient is φ = 4821851151360.

The previous prime is 12122331000001. The next prime is 12122331000029. The reversal of 12122331000020 is 2000013322121.

It can be written as a sum of positive squares in 8 ways, for example, as 8357846308036 + 3764484691984 = 2890994^2 + 1940228^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122331000029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65679626 + ... + 65863934.

It is an arithmetic number, because the mean of its divisors is an integer number (533314347475).

Almost surely, 212122331000020 is an apocalyptic number.

12122331000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122331000020 is an abundant number, since it is smaller than the sum of its proper divisors (13476757678780).

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

12122331000020 is a wasteful number, since it uses less digits than its factorization.

12122331000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202668 (or 202666 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 12122331000020 its reverse (2000013322121), we get a palindrome (14122344322141).

The spelling of 12122331000020 in words is "twelve trillion, one hundred twenty-two billion, three hundred thirty-one million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 181 362 724 905 1810 3620 18169 36338 72676 90845 181690 184309 363380 368618 737236 921545 1843090 3288589 3686180 6577178 13154356 16442945 32885890 33359929 65771780 66719858 133439716 166799645 333599290 667198580 3348710221 6697420442 13394840884 16743551105 33487102210 66974204420 606116550001 1212233100002 2424466200004 3030582750005 6061165500010 12122331000020