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12132423123 = 315128195311
BaseRepresentation
bin10110100110010011…
…00001010111010011
31011022112021221201120
423103021201113103
5144321400014443
65323515533323
7606436615662
oct132311412723
934275257646
1012132423123
115166489077
12242715a243
1311b471b1c2
1483144cdd9
154b01cc083
hex2d32615d3

12132423123 has 16 divisors (see below), whose sum is σ = 16341814272. Its totient is φ = 8006040000.

The previous prime is 12132423113. The next prime is 12132423143. The reversal of 12132423123 is 32132423121.

12132423123 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12132423123 - 25 = 12132423091 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12132423093 and 12132423102.

It is not an unprimeable number, because it can be changed into a prime (12132423113) 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 15 ways as a sum of consecutive naturals, for example, 79638 + ... + 174948.

It is an arithmetic number, because the mean of its divisors is an integer number (1021363392).

Almost surely, 212132423123 is an apocalyptic number.

12132423123 is a deficient number, since it is larger than the sum of its proper divisors (4209391149).

12132423123 is a wasteful number, since it uses less digits than its factorization.

12132423123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95746.

The product of its digits is 1728, while the sum is 24.

Adding to 12132423123 its reverse (32132423121), we get a palindrome (44264846244).

The spelling of 12132423123 in words is "twelve billion, one hundred thirty-two million, four hundred twenty-three thousand, one hundred twenty-three".

Divisors: 1 3 151 281 453 843 42431 95311 127293 285933 14391961 26782391 43175883 80347173 4044141041 12132423123