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12310200012132 = 223211233736529217
BaseRepresentation
bin1011001100100011000100…
…0110010100110101100100
31121120211210000010102201200
42303020301012110311210
53103142242200342012
642103121112522500
72410245142424511
oct263106106246544
947524700112650
1012310200012132
113a167a9a871a0
1214699710b0430
136b3b01798619
14307b6166a308
1516533acea3dc
hexb3231194d64

12310200012132 has 144 divisors (see below), whose sum is σ = 36379594323072. Its totient is φ = 3471736688640.

The previous prime is 12310200012119. The next prime is 12310200012133. The reversal of 12310200012132 is 23121000201321.

12310200012132 is a `hidden beast` number, since 1 + 2 + 310 + 200 + 0 + 121 + 32 = 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 (12310200012133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17927613 + ... + 18601604.

It is an arithmetic number, because the mean of its divisors is an integer number (252636071688).

Almost surely, 212310200012132 is an apocalyptic number.

12310200012132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12310200012132 is an abundant number, since it is smaller than the sum of its proper divisors (24069394310940).

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

12310200012132 is a wasteful number, since it uses less digits than its factorization.

12310200012132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36529298 (or 36529293 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12310200012132 its reverse (23121000201321), we get a palindrome (35431200213453).

The spelling of 12310200012132 in words is "twelve trillion, three hundred ten billion, two hundred million, twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 37 44 46 66 69 74 92 99 111 132 138 148 198 207 222 253 276 333 396 407 414 444 506 666 759 814 828 851 1012 1221 1332 1518 1628 1702 2277 2442 2553 3036 3404 3663 4554 4884 5106 7326 7659 9108 9361 10212 14652 15318 18722 28083 30636 37444 56166 84249 112332 168498 336996 36529217 73058434 109587651 146116868 219175302 328762953 401821387 438350604 657525906 803642774 840171991 1205464161 1315051812 1351581029 1607285548 1680343982 2410928322 2520515973 2703162058 3360687964 3616392483 4054743087 4821856644 5041031946 5406324116 7232784966 7561547919 8109486174 9241891901 10082063892 12164229261 14465569932 14867391319 15123095838 16218972348 18483783802 24328458522 27725675703 29734782638 30246191676 31086363667 36967567604 44602173957 48656917044 55451351406 59469565276 62172727334 83177027109 89204347914 93259091001 110902702812 124345454668 133806521871 166354054218 178408695828 186518182002 267613043742 279777273003 332708108436 341950000337 373036364004 535226087484 559554546006 683900000674 1025850001011 1119109092012 1367800001348 2051700002022 3077550003033 4103400004044 6155100006066 12310200012132