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12131240220 = 223251147912791
BaseRepresentation
bin10110100110001010…
…00000100100011100
31011022110001212002100
423103011000210130
5144321044141340
65323434325100
7606423561201
oct132305004434
934273055070
1012131240220
115165850370
122426889790
1311b43c5968
14831221ca8
154b0046830
hex2d314091c

12131240220 has 144 divisors (see below), whose sum is σ = 40230328320. Its totient is φ = 2934537600.

The previous prime is 12131240203. The next prime is 12131240227. The reversal of 12131240220 is 2204213121.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 12131240193 and 12131240202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12131240227) 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 47 ways as a sum of consecutive naturals, for example, 942025 + ... + 954815.

It is an arithmetic number, because the mean of its divisors is an integer number (279377280).

Almost surely, 212131240220 is an apocalyptic number.

12131240220 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 12131240220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20115164160).

12131240220 is an abundant number, since it is smaller than the sum of its proper divisors (28099088100).

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

12131240220 is a wasteful number, since it uses less digits than its factorization.

12131240220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13296 (or 13291 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12131240220 its reverse (2204213121), we get a palindrome (14335453341).

The spelling of 12131240220 in words is "twelve billion, one hundred thirty-one million, two hundred forty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 479 495 660 958 990 1437 1916 1980 2395 2874 4311 4790 5269 5748 7185 8622 9580 10538 12791 14370 15807 17244 21076 21555 25582 26345 28740 31614 38373 43110 47421 51164 52690 63228 63955 76746 79035 86220 94842 105380 115119 127910 140701 153492 158070 189684 191865 230238 237105 255820 281402 316140 383730 422103 460476 474210 562804 575595 703505 767460 844206 948420 1151190 1266309 1407010 1688412 2110515 2302380 2532618 2814020 4221030 5065236 6126889 6331545 8442060 12253778 12663090 18380667 24507556 25326180 30634445 36761334 55142001 61268890 67395779 73522668 91903335 110284002 122537780 134791558 183806670 202187337 220568004 269583116 275710005 336978895 367613340 404374674 551420010 606562011 673957790 808749348 1010936685 1102840020 1213124022 1347915580 2021873370 2426248044 3032810055 4043746740 6065620110 12131240220