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12011100020 = 2252389397739
BaseRepresentation
bin10110010111110101…
…01101011101110100
31011000002000002201022
423023322231131310
5144044320200040
65303503320312
7603434444213
oct131372553564
934002002638
1012011100020
115103a53247
1223b25b0098
13119554cc9a
1481d2ab07a
154a47146b5
hex2cbead774

12011100020 has 96 divisors (see below), whose sum is σ = 26718854400. Its totient is φ = 4526337024.

The previous prime is 12011100011. The next prime is 12011100077. The reversal of 12011100020 is 2000111021.

It is a junction number, because it is equal to n+sod(n) for n = 12011099980 and 12011100007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16252811 + ... + 16253549.

It is an arithmetic number, because the mean of its divisors is an integer number (278321400).

Almost surely, 212011100020 is an apocalyptic number.

12011100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12011100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13359427200).

12011100020 is an abundant number, since it is smaller than the sum of its proper divisors (14707754380).

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

12011100020 is a wasteful number, since it uses less digits than its factorization.

12011100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 12011100020 its reverse (2000111021), we get a palindrome (14011211041).

The spelling of 12011100020 in words is "twelve billion, eleven million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 89 92 115 178 230 356 397 445 460 739 794 890 1478 1588 1780 1985 2047 2956 3695 3970 4094 7390 7940 8188 9131 10235 14780 16997 18262 20470 33994 35333 36524 40940 45655 65771 67988 70666 84985 91310 131542 141332 169970 176665 182620 263084 293383 328855 339940 353330 586766 657710 706660 812659 1173532 1315420 1466915 1512733 1625318 2933830 3025466 3250636 4063295 5867660 6050932 6747809 7563665 8126590 13495618 15127330 16253180 26111087 26991236 30254660 33739045 52222174 67478090 104444348 130555435 134956180 261110870 522221740 600555001 1201110002 2402220004 3002775005 6005550010 12011100020