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12132144423 = 3271961716427
BaseRepresentation
bin10110100110010000…
…11101010100100111
31011022111202210102100
423103020131110213
5144321312110143
65323505543143
7606434345310
oct132310352447
934274683370
1012132144423
115166308743
122427044ab3
1311b46513a9
148313b9607
154b01746d3
hex2d321d527

12132144423 has 48 divisors (see below), whose sum is σ = 21117208320. Its totient is φ = 6556733568.

The previous prime is 12132144413. The next prime is 12132144439. The reversal of 12132144423 is 32444123121.

12132144423 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 214 + 442 + 3 = 666.

12132144423 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 12132144423 - 25 = 12132144391 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12132144413) 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 47 ways as a sum of consecutive naturals, for example, 730336 + ... + 746762.

It is an arithmetic number, because the mean of its divisors is an integer number (439941840).

Almost surely, 212132144423 is an apocalyptic number.

12132144423 is a deficient number, since it is larger than the sum of its proper divisors (8985063897).

12132144423 is a wasteful number, since it uses less digits than its factorization.

12132144423 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17076 (or 17073 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 12132144423 its reverse (32444123121), we get a palindrome (44576267544).

The spelling of 12132144423 in words is "twelve billion, one hundred thirty-two million, one hundred forty-four thousand, four hundred twenty-three".

Divisors: 1 3 7 9 19 21 57 63 133 171 399 617 1197 1851 4319 5553 11723 12957 16427 35169 38871 49281 82061 105507 114989 147843 246183 312113 344967 738549 936339 1034901 2184791 2809017 6554373 10135459 19663119 30406377 70948213 91219131 192573721 212844639 577721163 638533917 1348016047 1733163489 4044048141 12132144423