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12131241210 = 2345112359197
BaseRepresentation
bin10110100110001010…
…00000110011111010
31011022110001220110000
423103011000303322
5144321044204320
65323434333430
7606423564114
oct132305006372
934273056400
1012131241210
115165851090
12242688a276
1311b43c624a
148312223b4
154b0046c90
hex2d3140cfa

12131241210 has 160 divisors (see below), whose sum is σ = 37132774272. Its totient is φ = 2812993920.

The previous prime is 12131241193. The next prime is 12131241211. The reversal of 12131241210 is 1214213121.

12131241210 is a `hidden beast` number, since 1 + 213 + 1 + 241 + 210 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12131241211) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 175332 + ... + 234528.

Almost surely, 212131241210 is an apocalyptic number.

12131241210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12131241210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18566387136).

12131241210 is an abundant number, since it is smaller than the sum of its proper divisors (25001533062).

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

12131241210 is a wasteful number, since it uses less digits than its factorization.

12131241210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59250 (or 59241 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12131241210 its reverse (1214213121), we get a palindrome (13345454331).

The spelling of 12131241210 in words is "twelve billion, one hundred thirty-one million, two hundred forty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 23 27 30 33 45 46 54 55 66 69 81 90 99 110 115 135 138 162 165 198 207 230 253 270 297 330 345 405 414 495 506 594 621 690 759 810 891 990 1035 1242 1265 1485 1518 1782 1863 2070 2277 2530 2970 3105 3726 3795 4455 4554 6210 6831 7590 8910 9315 11385 13662 18630 20493 22770 34155 40986 59197 68310 102465 118394 177591 204930 295985 355182 532773 591970 651167 887955 1065546 1302334 1361531 1598319 1775910 1953501 2663865 2723062 3196638 3255835 3907002 4084593 4794957 5327730 5860503 6511670 6807655 7991595 8169186 9589914 9767505 11721006 12253779 13615310 14976841 15983190 17581509 19535010 20422965 23974785 24507558 29302515 29953682 35163018 36761337 40845930 44930523 47949570 52744527 58605030 61268895 73522674 74884205 87907545 89861046 105489054 110284011 122537790 134791569 149768410 175815090 183806685 220568022 224652615 263722635 269583138 367613370 404374707 449305230 527445270 551420055 673957845 808749414 1102840110 1213124121 1347915690 2021873535 2426248242 4043747070 6065620605 12131241210