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12132013212 = 223211217173947
BaseRepresentation
bin10110100110001111…
…11101010010011100
31011022111112010102200
423103013331102130
5144321243410322
65323503051500
7606433260624
oct132307752234
934274463380
1012132013212
115166229100
122426ba0b90
1311b4606757
14831383884
154b014a8ac
hex2d31fd49c

12132013212 has 216 divisors, whose sum is σ = 35935453008. Its totient is φ = 3436477440.

The previous prime is 12132013199. The next prime is 12132013219. The reversal of 12132013212 is 21231023121.

12132013212 is a `hidden beast` number, since 1 + 21 + 320 + 1 + 321 + 2 = 666.

It is a super-2 number, since 2×121320132122 (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (12132013219) 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 71 ways as a sum of consecutive naturals, for example, 12810523 + ... + 12811469.

It is an arithmetic number, because the mean of its divisors is an integer number (166367838).

Almost surely, 212132013212 is an apocalyptic number.

12132013212 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 12132013212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17967726504).

12132013212 is an abundant number, since it is smaller than the sum of its proper divisors (23803439796).

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

12132013212 is a wasteful number, since it uses less digits than its factorization.

12132013212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1153 counting only the distinct ones).

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

Adding to 12132013212 its reverse (21231023121), we get a palindrome (33363036333).

Subtracting 12132013212 from its reverse (21231023121), we obtain a palindrome (9099009909).

The spelling of 12132013212 in words is "twelve billion, one hundred thirty-two million, thirteen thousand, two hundred twelve".