Search a number
-
+
12124134540 = 2233573207443
BaseRepresentation
bin10110100101010011…
…11001110010001100
31011021221200211221000
423102221321302030
5144312234301130
65323022140300
7606306305010
oct132251716214
934257624830
1012124134540
115161837801
122424421690
1311b2aa860b
148302d2540
154ae5e1260
hex2d2a79c8c

12124134540 has 96 divisors (see below), whose sum is σ = 43108047360. Its totient is φ = 2771229888.

The previous prime is 12124134497. The next prime is 12124134553. The reversal of 12124134540 is 4543142121.

12124134540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1599942 + ... + 1607501.

It is an arithmetic number, because the mean of its divisors is an integer number (449042160).

Almost surely, 212124134540 is an apocalyptic number.

12124134540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12124134540 is an abundant number, since it is smaller than the sum of its proper divisors (30983912820).

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

12124134540 is a wasteful number, since it uses less digits than its factorization.

12124134540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3207468 (or 3207460 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 12124134540 its reverse (4543142121), we get a palindrome (16667276661).

The spelling of 12124134540 in words is "twelve billion, one hundred twenty-four million, one hundred thirty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 3207443 6414886 9622329 12829772 16037215 19244658 22452101 28866987 32074430 38489316 44904202 48111645 57733974 64148860 67356303 86600961 89808404 96223290 112260505 115467948 134712606 144334935 173201922 192446580 202068909 224521010 269425212 288669870 336781515 346403844 404137818 433004805 449042020 577339740 606206727 673563030 808275636 866009610 1010344545 1212413454 1347126060 1732019220 2020689090 2424826908 3031033635 4041378180 6062067270 12124134540