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12412337120 = 255531463719
BaseRepresentation
bin10111000111101010…
…10011101111100000
31012001001000001112122
423203311103233200
5200410024241440
65411355243412
7616406060531
oct134365235740
935031001478
1012412337120
11529a493657
1224a4a49568
13122a7056a1
1485a6b4688
154c9a6e7b5
hex2e3d53be0

12412337120 has 48 divisors (see below), whose sum is σ = 29877452640. Its totient is φ = 4871253504.

The previous prime is 12412337117. The next prime is 12412337123. The reversal of 12412337120 is 2173321421.

It is an interprime number because it is at equal distance from previous prime (12412337117) and next prime (12412337123).

It is a super-2 number, since 2×124123371202 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12412337120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12412337123) 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 7 ways as a sum of consecutive naturals, for example, 723380 + ... + 740339.

It is an arithmetic number, because the mean of its divisors is an integer number (622446930).

Almost surely, 212412337120 is an apocalyptic number.

12412337120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12412337120 is an abundant number, since it is smaller than the sum of its proper divisors (17465115520).

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

12412337120 is a wasteful number, since it uses less digits than its factorization.

12412337120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463787 (or 1463779 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

Adding to 12412337120 its reverse (2173321421), we get a palindrome (14585658541).

The spelling of 12412337120 in words is "twelve billion, four hundred twelve million, three hundred thirty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 80 106 160 212 265 424 530 848 1060 1696 2120 4240 8480 1463719 2927438 5854876 7318595 11709752 14637190 23419504 29274380 46839008 58548760 77577107 117097520 155154214 234195040 310308428 387885535 620616856 775771070 1241233712 1551542140 2482467424 3103084280 6206168560 12412337120