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12230112312 = 233211313713463
BaseRepresentation
bin10110110001111100…
…01011010000111000
31011120100010002002200
423120332023100320
5200021402043222
65341325430200
7612034145055
oct133076132070
934510102080
1012230112312
115206641440
122453a0b360
1311cba32c62
148403dc02c
154b8a76eac
hex2d8f8b438

12230112312 has 192 divisors, whose sum is σ = 38311004160. Its totient is φ = 3489350400.

The previous prime is 12230112269. The next prime is 12230112347. The reversal of 12230112312 is 21321103221.

12230112312 is a `hidden beast` number, since 12 + 230 + 112 + 312 = 666.

12230112312 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 (18).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 901693 + ... + 915155.

It is an arithmetic number, because the mean of its divisors is an integer number (199536480).

Almost surely, 212230112312 is an apocalyptic number.

12230112312 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 12230112312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19155502080).

12230112312 is an abundant number, since it is smaller than the sum of its proper divisors (26080891848).

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

12230112312 is a wasteful number, since it uses less digits than its factorization.

12230112312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13554 (or 13547 counting only the distinct ones).

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

Adding to 12230112312 its reverse (21321103221), we get a palindrome (33551215533).

Subtracting 12230112312 from its reverse (21321103221), we obtain a palindrome (9090990909).

The spelling of 12230112312 in words is "twelve billion, two hundred thirty million, one hundred twelve thousand, three hundred twelve".