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12000123213 = 313307695467
BaseRepresentation
bin10110010110100001…
…10101100101001101
31010222022100102100220
423023100311211031
5144034012420323
65302432141553
7603242235651
oct131320654515
933868312326
1012000123213
1150a8836201
1223aa9978b9
1311931a8930
1481ba50a61
154a37970e3
hex2cb43594d

12000123213 has 8 divisors (see below), whose sum is σ = 17230946208. Its totient is φ = 7384691184.

The previous prime is 12000123203. The next prime is 12000123241. The reversal of 12000123213 is 31232100021.

12000123213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 12000123213 - 28 = 12000122957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12000123192 and 12000123201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000123203) 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 7 ways as a sum of consecutive naturals, for example, 153847695 + ... + 153847772.

It is an arithmetic number, because the mean of its divisors is an integer number (2153868276).

Almost surely, 212000123213 is an apocalyptic number.

12000123213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12000123213 is a deficient number, since it is larger than the sum of its proper divisors (5230822995).

12000123213 is a wasteful number, since it uses less digits than its factorization.

12000123213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307695483.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12000123213 its reverse (31232100021), we get a palindrome (43232223234).

The spelling of 12000123213 in words is "twelve billion, one hundred twenty-three thousand, two hundred thirteen".

Divisors: 1 3 13 39 307695467 923086401 4000041071 12000123213