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12201332130 = 2345134326947
BaseRepresentation
bin10110101110100000…
…11000110110100010
31011111022221220010000
423113100120312202
5144442020112010
65334420520430
7611234416611
oct132720306642
934438856100
1012201332130
1151a1374469
122446250116
1311c5a97270
1483a669878
154b628e7c0
hex2d7418da2

12201332130 has 160 divisors (see below), whose sum is σ = 36154730304. Its totient is φ = 2933449344.

The previous prime is 12201332119. The next prime is 12201332137. The reversal of 12201332130 is 3123310221.

12201332130 is a `hidden beast` number, since 1 + 2 + 201 + 332 + 130 = 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 (12201332137) 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, 439317 + ... + 466263.

Almost surely, 212201332130 is an apocalyptic number.

12201332130 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 12201332130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18077365152).

12201332130 is an abundant number, since it is smaller than the sum of its proper divisors (23953398174).

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

12201332130 is a wasteful number, since it uses less digits than its factorization.

12201332130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27022 (or 27013 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12201332130 its reverse (3123310221), we get a palindrome (15324642351).

The spelling of 12201332130 in words is "twelve billion, two hundred one million, three hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 43 45 54 65 78 81 86 90 117 129 130 135 162 195 215 234 258 270 351 387 390 405 430 559 585 645 702 774 810 1053 1118 1161 1170 1290 1677 1755 1935 2106 2322 2795 3354 3483 3510 3870 5031 5265 5590 5805 6966 8385 10062 10530 11610 15093 16770 17415 25155 26947 30186 34830 45279 50310 53894 75465 80841 90558 134735 150930 161682 226395 242523 269470 350311 404205 452790 485046 700622 727569 808410 1050933 1158721 1212615 1455138 1751555 2101866 2182707 2317442 2425230 3152799 3476163 3503110 3637845 4365414 5254665 5793605 6305598 6952326 7275690 9458397 10428489 10509330 10913535 11587210 15063373 15763995 17380815 18916794 20856978 21827070 28375191 30126746 31285467 31527990 34761630 45190119 47291985 52142445 56750382 62570934 75316865 90380238 93856401 94583970 104284890 135570357 141875955 150633730 156427335 187712802 225950595 271140714 283751910 312854670 406711071 451901190 469282005 677851785 813422142 938564010 1220133213 1355703570 2033555355 2440266426 4067110710 6100666065 12201332130