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12132232530 = 23511127337859
BaseRepresentation
bin10110100110010001…
…10010110101010010
31011022111221021021120
423103020302311102
5144321322420110
65323511503110
7606435163215
oct132310626522
934274837246
1012132232530
115166368960
122427087a96
1311b4682522
148313dd77c
154b0190870
hex2d3232d52

12132232530 has 128 divisors (see below), whose sum is σ = 32146882560. Its totient is φ = 2905943040.

The previous prime is 12132232517. The next prime is 12132232531. The reversal of 12132232530 is 3523223121.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12132232530.

It is not an unprimeable number, because it can be changed into a prime (12132232531) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14123241 + ... + 14124099.

It is an arithmetic number, because the mean of its divisors is an integer number (251147520).

Almost surely, 212132232530 is an apocalyptic number.

12132232530 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 12132232530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16073441280).

12132232530 is an abundant number, since it is smaller than the sum of its proper divisors (20014650030).

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

12132232530 is a wasteful number, since it uses less digits than its factorization.

12132232530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344.

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 12132232530 its reverse (3523223121), we get a palindrome (15655455651).

The spelling of 12132232530 in words is "twelve billion, one hundred thirty-two million, two hundred thirty-two thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 127 165 254 330 337 381 635 674 762 859 1011 1270 1397 1685 1718 1905 2022 2577 2794 3370 3707 3810 4191 4295 5055 5154 6985 7414 8382 8590 9449 10110 11121 12885 13970 18535 18898 20955 22242 25770 28347 37070 41910 42799 47245 55605 56694 85598 94490 109093 111210 128397 141735 213995 218186 256794 283470 289483 327279 427990 470789 545465 578966 641985 654558 868449 941578 1090930 1200023 1283970 1412367 1447415 1636395 1736898 2353945 2400046 2824734 2894830 3184313 3272790 3600069 4342245 4707890 6000115 6368626 7061835 7200138 8684490 9552939 12000230 14123670 15921565 18000345 19105878 31843130 36000690 36764341 47764695 73528682 95529390 110293023 183821705 220586046 367643410 404407751 551465115 808815502 1102930230 1213223253 2022038755 2426446506 4044077510 6066116265 12132232530