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12232203312132 = 2233713135096573
BaseRepresentation
bin1011001000000000100000…
…1000100001110000000100
31121022101110021120112201000
42302000020020201300010
53100403023021442012
642003221400533300
72401514254420626
oct262001010416004
947271407515630
1012232203312132
113996714971051
121456824181230
136a96516c4c2b
143040829a8c16
151632c3641ddc
hexb2008221c04

12232203312132 has 96 divisors (see below), whose sum is σ = 32262536597760. Its totient is φ = 4007128769280.

The previous prime is 12232203312113. The next prime is 12232203312139. The reversal of 12232203312132 is 23121330223221.

12232203312132 is a `hidden beast` number, since 1 + 2 + 2 + 322 + 0 + 331 + 2 + 1 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12232203312096 and 12232203312105.

It is not an unprimeable number, because it can be changed into a prime (12232203312139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148203 + ... + 4948370.

It is an arithmetic number, because the mean of its divisors is an integer number (336068089560).

Almost surely, 212232203312132 is an apocalyptic number.

12232203312132 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 12232203312132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16131268298880).

12232203312132 is an abundant number, since it is smaller than the sum of its proper divisors (20030333285628).

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

12232203312132 is a wasteful number, since it uses less digits than its factorization.

12232203312132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5096970 (or 5096962 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 12232203312132 its reverse (23121330223221), we get a palindrome (35353533535353).

The spelling of 12232203312132 in words is "twelve trillion, two hundred thirty-two billion, two hundred three million, three hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 71 108 142 213 284 313 426 626 639 852 939 1252 1278 1878 1917 2556 2817 3756 3834 5634 7668 8451 11268 16902 22223 33804 44446 66669 88892 133338 200007 266676 400014 600021 800028 1200042 2400084 5096573 10193146 15289719 20386292 30579438 45869157 61158876 91738314 137607471 183476628 275214942 361856683 550429884 723713366 1085570049 1447426732 1595227349 2171140098 3190454698 3256710147 4342280196 4785682047 6380909396 6513420294 9571364094 9770130441 13026840588 14357046141 19142728188 19540260882 28714092282 39080521764 43071138423 57428184564 86142276846 113261141779 172284553692 226522283558 339783425337 453044567116 679566850674 1019350276011 1359133701348 2038700552022 3058050828033 4077401104044 6116101656066 12232203312132