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12141242160 = 2435371367257
BaseRepresentation
bin10110100111010110…
…01010011100110000
31011100010220000011120
423103223022130300
5144331124222120
65324432542240
7606604566315
oct132353123460
934303800146
1012141242160
115170461a33
12242a0b1980
1311b64b8378
148326a6d0c
154b0d70140
hex2d3aca730

12141242160 has 80 divisors (see below), whose sum is σ = 38655118176. Its totient is φ = 3150157824.

The previous prime is 12141242159. The next prime is 12141242161. The reversal of 12141242160 is 6124214121.

12141242160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12141242159) and next prime (12141242161).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×121412421602 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12141242160.

It is not an unprimeable number, because it can be changed into a prime (12141242161) 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, 674749 + ... + 692508.

Almost surely, 212141242160 is an apocalyptic number.

12141242160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12141242160 is an abundant number, since it is smaller than the sum of its proper divisors (26513876016).

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

12141242160 is a wasteful number, since it uses less digits than its factorization.

12141242160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367310 (or 1367304 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 12141242160 its reverse (6124214121), we get a palindrome (18265456281).

The spelling of 12141242160 in words is "twelve billion, one hundred forty-one million, two hundred forty-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1776 2220 2960 4440 8880 1367257 2734514 4101771 5469028 6836285 8203542 10938056 13672570 16407084 20508855 21876112 27345140 32814168 41017710 50588509 54690280 65628336 82035420 101177018 109380560 151765527 164070840 202354036 252942545 303531054 328141680 404708072 505885090 607062108 758827635 809416144 1011770180 1214124216 1517655270 2023540360 2428248432 3035310540 4047080720 6070621080 12141242160