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12200132322 = 2327293790239
BaseRepresentation
bin10110101110010111…
…10011111011100010
31011111020200221021200
423113023303323202
5144441213213242
65334335102030
7611221261620
oct132713637342
934436627250
1012200132322
1151a0724a94
122445971916
1311c5767111
1483a436510
154b610404c
hex2d72f3ee2

12200132322 has 96 divisors (see below), whose sum is σ = 32096563200. Its totient is φ = 3274556544.

The previous prime is 12200132317. The next prime is 12200132327. The reversal of 12200132322 is 22323100221.

12200132322 is a `hidden beast` number, since 12 + 200 + 132 + 322 = 666.

It is an interprime number because it is at equal distance from previous prime (12200132317) and next prime (12200132327).

It is a super-2 number, since 2×122001323222 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12200132295 and 12200132304.

It is not an unprimeable number, because it can be changed into a prime (12200132327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90079 + ... + 180317.

It is an arithmetic number, because the mean of its divisors is an integer number (334339200).

Almost surely, 212200132322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12200132322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16048281600).

12200132322 is an abundant number, since it is smaller than the sum of its proper divisors (19896430878).

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

12200132322 is a wasteful number, since it uses less digits than its factorization.

12200132322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90320 (or 90317 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12200132322 its reverse (22323100221), we get a palindrome (34523232543).

The spelling of 12200132322 in words is "twelve billion, two hundred million, one hundred thirty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 29 37 42 58 63 74 87 111 126 174 203 222 259 261 333 406 518 522 609 666 777 1073 1218 1554 1827 2146 2331 3219 3654 4662 6438 7511 9657 15022 19314 22533 45066 67599 90239 135198 180478 270717 541434 631673 812151 1263346 1624302 1895019 2616931 3338843 3790038 5233862 5685057 6677686 7850793 10016529 11370114 15701586 18318517 20033058 23371901 23552379 30049587 36637034 46743802 47104758 54955551 60099174 70115703 96826447 109911102 140231406 164866653 193652894 210347109 290479341 329733306 420694218 580958682 677785129 871438023 1355570258 1742876046 2033355387 4066710774 6100066161 12200132322