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12124212405 = 351771669661
BaseRepresentation
bin10110100101010100…
…01100110010110101
31011021221211210201220
423102222030302311
5144312244244110
65323023540553
7606310051014
oct132252146265
934257753656
1012124212405
115161890258
12242445a759
1311b2b04ba6
14830312a7b
154ae609370
hex2d2a8ccb5

12124212405 has 32 divisors (see below), whose sum is σ = 20829166848. Its totient is φ = 6000153600.

The previous prime is 12124212391. The next prime is 12124212409. The reversal of 12124212405 is 50421242121.

12124212405 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 12124212405 - 29 = 12124211893 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12124212409) 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 31 ways as a sum of consecutive naturals, for example, 316726 + ... + 352935.

It is an arithmetic number, because the mean of its divisors is an integer number (650911464).

Almost surely, 212124212405 is an apocalyptic number.

12124212405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12124212405 is a deficient number, since it is larger than the sum of its proper divisors (8704954443).

12124212405 is a wasteful number, since it uses less digits than its factorization.

12124212405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669757.

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 12124212405 its reverse (50421242121), we get a palindrome (62545454526).

The spelling of 12124212405 in words is "twelve billion, one hundred twenty-four million, two hundred twelve thousand, four hundred five".

Divisors: 1 3 5 15 17 51 71 85 213 255 355 1065 1207 3621 6035 18105 669661 2008983 3348305 10044915 11384237 34152711 47545931 56921185 142637793 170763555 237729655 713188965 808280827 2424842481 4041404135 12124212405