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12050231424 = 2737111273209
BaseRepresentation
bin10110011100011111…
…11111000010000000
31011002210122011220120
423032033333002000
5144134324401144
65311422140240
7604421164020
oct131617770200
934083564816
1012050231424
115124050250
122403721680
1311a06a136a
14824575a80
154a7d93e19
hex2ce3ff080

12050231424 has 256 divisors, whose sum is σ = 40233369600. Its totient is φ = 3104317440.

The previous prime is 12050231419. The next prime is 12050231437. The reversal of 12050231424 is 42413205021.

12050231424 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 (24).

It is a junction number, because it is equal to n+sod(n) for n = 12050231394 and 12050231403.

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 31 ways as a sum of consecutive naturals, for example, 3753532 + ... + 3756740.

It is an arithmetic number, because the mean of its divisors is an integer number (157161600).

Almost surely, 212050231424 is an apocalyptic number.

12050231424 is a gapful number since it is divisible by the number (14) 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 12050231424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20116684800).

12050231424 is an abundant number, since it is smaller than the sum of its proper divisors (28183138176).

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

12050231424 is a wasteful number, since it uses less digits than its factorization.

12050231424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3371 (or 3359 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 12050231424 its reverse (42413205021), we get a palindrome (54463436445).

The spelling of 12050231424 in words is "twelve billion, fifty million, two hundred thirty-one thousand, four hundred twenty-four".