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12131123231232 = 293632501509
BaseRepresentation
bin1011000010000111111101…
…0010100111101000000000
31120221201112211120102000000
42300201333102213220000
53042224020021344412
641444543332000000
72361305354050335
oct260417722475000
946851484512000
1012131123231232
113957864896205
12143b114760000
1369cc631ba185
142dd21431298c
151608596a84dc
hexb087f4a7a00

12131123231232 has 140 divisors (see below), whose sum is σ = 36341205889890. Its totient is φ = 4043707619328.

The previous prime is 12131123231147. The next prime is 12131123231233. The reversal of 12131123231232 is 23213232113121.

12131123231232 is a `hidden beast` number, since 1 + 2 + 1 + 311 + 2 + 3 + 2 + 312 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7950505072896 + 4180618158336 = 2819664^2 + 2044656^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12131123231196 and 12131123231205.

It is not an unprimeable number, because it can be changed into a prime (12131123231233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 15877507 + ... + 16624002.

Almost surely, 212131123231232 is an apocalyptic number.

12131123231232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12131123231232 is an abundant number, since it is smaller than the sum of its proper divisors (24210082658658).

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

12131123231232 is an frugal number, since it uses more digits than its factorization.

12131123231232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32501545 (or 32501514 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 12131123231232 its reverse (23213232113121), we get a palindrome (35344355344353).

The spelling of 12131123231232 in words is "twelve trillion, one hundred thirty-one billion, one hundred twenty-three million, two hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 729 768 864 972 1152 1296 1458 1536 1728 1944 2304 2592 2916 3456 3888 4608 5184 5832 6912 7776 10368 11664 13824 15552 20736 23328 31104 41472 46656 62208 93312 124416 186624 373248 32501509 65003018 97504527 130006036 195009054 260012072 292513581 390018108 520024144 585027162 780036216 877540743 1040048288 1170054324 1560072432 1755081486 2080096576 2340108648 2632622229 3120144864 3510162972 4160193152 4680217296 5265244458 6240289728 7020325944 7897866687 8320386304 9360434592 10530488916 12480579456 14040651888 15795733374 16640772608 18720869184 21060977832 23693600061 24961158912 28081303776 31591466748 37441738368 42121955664 47387200122 49922317824 56162607552 63182933496 74883476736 84243911328 94774400244 112325215104 126365866992 149766953472 168487822656 189548800488 224650430208 252731733984 336975645312 379097600976 449300860416 505463467968 673951290624 758195201952 1010926935936 1347902581248 1516390403904 2021853871872 3032780807808 4043707743744 6065561615616 12131123231232