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12289512132 = 2235196110909
BaseRepresentation
bin10110111001000001…
…10001001011000100
31011201110212220100000
423130200301023010
5200132103342012
65351250521300
7613355062302
oct133440611304
934643786300
1012289512132
1152371223a7
12246b896230
13120b12c991
14848261272
154bddabddc
hex2dc8312c4

12289512132 has 144 divisors (see below), whose sum is σ = 34470363200. Its totient is φ = 3816927360.

The previous prime is 12289512127. The next prime is 12289512173. The reversal of 12289512132 is 23121598221.

12289512132 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 9 + 512 + 132 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1121094 + ... + 1132002.

Almost surely, 212289512132 is an apocalyptic number.

12289512132 is a gapful number since it is divisible by the number (12) 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 12289512132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17235181600).

12289512132 is an abundant number, since it is smaller than the sum of its proper divisors (22180851068).

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

12289512132 is a wasteful number, since it uses less digits than its factorization.

12289512132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11008 (or 10994 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The spelling of 12289512132 in words is "twelve billion, two hundred eighty-nine million, five hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 61 76 81 108 114 122 162 171 183 228 243 244 324 342 366 486 513 549 684 732 972 1026 1098 1159 1539 1647 2052 2196 2318 3078 3294 3477 4617 4636 4941 6156 6588 6954 9234 9882 10431 10909 13908 14823 18468 19764 20862 21818 29646 31293 32727 41724 43636 59292 62586 65454 93879 98181 125172 130908 187758 196362 207271 281637 294543 375516 392724 414542 563274 589086 621813 665449 829084 883629 1126548 1178172 1243626 1330898 1767258 1865439 1996347 2487252 2650887 2661796 3534516 3730878 3992694 5301774 5596317 5989041 7461756 7985388 10603548 11192634 11978082 12643531 16788951 17967123 22385268 23956164 25287062 33577902 35934246 37930593 50366853 50574124 53901369 67155804 71868492 75861186 100733706 107802738 113791779 151722372 161704107 201467412 215605476 227583558 323408214 341375337 455167116 646816428 682750674 1024126011 1365501348 2048252022 3072378033 4096504044 6144756066 12289512132