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12023312112 = 243477271823
BaseRepresentation
bin10110011001010010…
…10010111011110000
31011000220222112120000
423030221102323300
5144110431441422
65305021150000
7603643316040
oct131451227360
934026875500
1012023312112
11510a934389
1223b66bb300
131197c37686
14820b69720
154a5827cac
hex2cca52ef0

12023312112 has 200 divisors, whose sum is σ = 39846782976. Its totient is φ = 3428625024.

The previous prime is 12023312089. The next prime is 12023312117. The reversal of 12023312112 is 21121332021.

12023312112 is a `hidden beast` number, since 120 + 2 + 331 + 211 + 2 = 666.

12023312112 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 not an unprimeable number, because it can be changed into a prime (12023312117) 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 39 ways as a sum of consecutive naturals, for example, 6594433 + ... + 6596255.

Almost surely, 212023312112 is an apocalyptic number.

12023312112 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 12023312112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19923391488).

12023312112 is an abundant number, since it is smaller than the sum of its proper divisors (27823470864).

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

12023312112 is a wasteful number, since it uses less digits than its factorization.

12023312112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2577 (or 2562 counting only the distinct ones).

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

Adding to 12023312112 its reverse (21121332021), we get a palindrome (33144644133).

The spelling of 12023312112 in words is "twelve billion, twenty-three million, three hundred twelve thousand, one hundred twelve".