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12412351332 = 2233114929179
BaseRepresentation
bin10111000111101010…
…10111001101100100
31012001001000210001000
423203311113031210
5200410030220312
65411355433300
7616406150133
oct134365271544
935031023030
1012412351332
11529a4a32a7
1224a4a55830
13122a70bcb4
1485a6b991a
154c9a73adc
hex2e3d57364

12412351332 has 24 divisors (see below), whose sum is σ = 32180170400. Its totient is φ = 4137450408.

The previous prime is 12412351313. The next prime is 12412351333. The reversal of 12412351332 is 23315321421.

12412351332 is a `hidden beast` number, since 1 + 24 + 123 + 513 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12412351296 and 12412351305.

It is not an unprimeable number, because it can be changed into a prime (12412351333) 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, 57464482 + ... + 57464697.

Almost surely, 212412351332 is an apocalyptic number.

12412351332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12412351332 is an abundant number, since it is smaller than the sum of its proper divisors (19767819068).

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

12412351332 is a wasteful number, since it uses less digits than its factorization.

12412351332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114929192 (or 114929184 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

Adding to 12412351332 its reverse (23315321421), we get a palindrome (35727672753).

The spelling of 12412351332 in words is "twelve billion, four hundred twelve million, three hundred fifty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 114929179 229858358 344787537 459716716 689575074 1034362611 1379150148 2068725222 3103087833 4137450444 6206175666 12412351332