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12122415424 = 26727058963
BaseRepresentation
bin10110100101000110…
…10110000101000000
31011021211110111202001
423102203112011000
5144311314243144
65322521233344
7606255555010
oct132243260500
934254414661
1012122415424
115160873149
122423932854
1311b2625ca2
1482dda5c40
154ae3a1bd4
hex2d28d6140

12122415424 has 28 divisors (see below), whose sum is σ = 27491907424. Its totient is φ = 5195320704.

The previous prime is 12122415419. The next prime is 12122415427. The reversal of 12122415424 is 42451422121.

It is a tau number, because it is divible by the number of its divisors (28).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 12122415392 and 12122415401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122415427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13529034 + ... + 13529929.

Almost surely, 212122415424 is an apocalyptic number.

12122415424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12122415424 is an abundant number, since it is smaller than the sum of its proper divisors (15369492000).

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

12122415424 is an equidigital number, since it uses as much as digits as its factorization.

12122415424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27058982 (or 27058972 counting only the distinct ones).

The product of its digits is 5120, while the sum is 28.

Adding to 12122415424 its reverse (42451422121), we get a palindrome (54573837545).

The spelling of 12122415424 in words is "twelve billion, one hundred twenty-two million, four hundred fifteen thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 27058963 54117926 108235852 189412741 216471704 378825482 432943408 757650964 865886816 1515301928 1731773632 3030603856 6061207712 12122415424