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12132212420 = 2254122366347
BaseRepresentation
bin10110100110010001…
…01101111011000100
31011022111220020200202
423103020231323010
5144321321244140
65323511230032
7606435050456
oct132310557304
934274806622
1012132212420
115166354839
122427078318
1311b4676323
148313d62d6
154b0189915
hex2d322dec4

12132212420 has 48 divisors (see below), whose sum is σ = 26216483328. Its totient is φ = 4713219840.

The previous prime is 12132212419. The next prime is 12132212429. The reversal of 12132212420 is 2421223121.

12132212420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12132212392 and 12132212401.

It is not an unprimeable number, because it can be changed into a prime (12132212429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149687 + ... + 216033.

It is an arithmetic number, because the mean of its divisors is an integer number (546176736).

Almost surely, 212132212420 is an apocalyptic number.

12132212420 is a gapful number since it is divisible by the number (10) 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 12132212420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13108241664).

12132212420 is an abundant number, since it is smaller than the sum of its proper divisors (14084270908).

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

12132212420 is a wasteful number, since it uses less digits than its factorization.

12132212420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66620 (or 66618 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 12132212420 its reverse (2421223121), we get a palindrome (14553435541).

The spelling of 12132212420 in words is "twelve billion, one hundred thirty-two million, two hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 223 410 446 820 892 1115 2230 4460 9143 18286 36572 45715 66347 91430 132694 182860 265388 331735 663470 1326940 2720227 5440454 10880908 13601135 14795381 27202270 29590762 54404540 59181524 73976905 147953810 295907620 606610621 1213221242 2426442484 3033053105 6066106210 12132212420