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12420141012 = 2232345003917
BaseRepresentation
bin10111001000100110…
…00100111111010100
31012001120200112110200
423210103010333110
5200414024003022
65412234420500
7616532312436
oct134423047724
935046615420
1012420141012
1152a3933854
1224a7591730
13122c208786
1485b746656
154ca5b1bac
hex2e44c4fd4

12420141012 has 18 divisors (see below), whose sum is σ = 31395356538. Its totient is φ = 4140046992.

The previous prime is 12420141011. The next prime is 12420141023. The reversal of 12420141012 is 21014102421.

12420141012 is a `hidden beast` number, since 1 + 242 + 0 + 1 + 410 + 12 = 666.

12420141012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 6397760196 + 6022380816 = 79986^2 + 77604^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12420141011) 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 5 ways as a sum of consecutive naturals, for example, 172501923 + ... + 172501994.

Almost surely, 212420141012 is an apocalyptic number.

12420141012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12420141012 is an abundant number, since it is smaller than the sum of its proper divisors (18975215526).

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

12420141012 is a wasteful number, since it uses less digits than its factorization.

12420141012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345003927 (or 345003922 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12420141012 its reverse (21014102421), we get a palindrome (33434243433).

It can be divided in two parts, 12 and 420141012, that added together give a palindrome (420141024).

The spelling of 12420141012 in words is "twelve billion, four hundred twenty million, one hundred forty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 345003917 690007834 1035011751 1380015668 2070023502 3105035253 4140047004 6210070506 12420141012