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12414124505 = 58997287597
BaseRepresentation
bin10111000111111000…
…01000000111011001
31012001011100212101002
423203330020013121
5200411003441010
65411501434345
7616430213546
oct134374100731
935034325332
1012414124505
1152a04a4532
1224a556b9b5
13122abb0103
1485aa1bbcd
154c9cc41a5
hex2e3f081d9

12414124505 has 16 divisors (see below), whose sum is σ = 15219686160. Its totient is φ = 9718444032.

The previous prime is 12414124501. The next prime is 12414124589. The reversal of 12414124505 is 50542141421.

It is a happy number.

12414124505 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 8 ways, for example, as 1935736009 + 10478388496 = 43997^2 + 102364^2 .

It is a cyclic number.

It is not a de Polignac number, because 12414124505 - 22 = 12414124501 is a prime.

It is a super-2 number, since 2×124141245052 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12414124501) 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, 100634 + ... + 186963.

It is an arithmetic number, because the mean of its divisors is an integer number (951230385).

Almost surely, 212414124505 is an apocalyptic number.

It is an amenable number.

12414124505 is a deficient number, since it is larger than the sum of its proper divisors (2805561655).

12414124505 is an equidigital number, since it uses as much as digits as its factorization.

12414124505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287788.

The product of its (nonzero) digits is 6400, while the sum is 29.

Adding to 12414124505 its reverse (50542141421), we get a palindrome (62956265926).

The spelling of 12414124505 in words is "twelve billion, four hundred fourteen million, one hundred twenty-four thousand, five hundred five".

Divisors: 1 5 89 97 445 485 8633 43165 287597 1437985 25596133 27896909 127980665 139484545 2482824901 12414124505