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12424422321 = 3231138911411
BaseRepresentation
bin10111001001000110…
…11010001110110001
31012001212202001022200
423210203122032301
5200421123003241
65412510253413
7616613563413
oct134443321661
935055661280
1012424422321
1152a6298423
1224a8ab7269
1312300773ac
1485c13c9b3
154cab5a4b6
hex2e48da3b1

12424422321 has 24 divisors (see below), whose sum is σ = 18051958080. Its totient is φ = 8234368800.

The previous prime is 12424422301. The next prime is 12424422323. The reversal of 12424422321 is 12322442421.

It is a happy number.

12424422321 is a `hidden beast` number, since 1 + 2 + 424 + 4 + 2 + 232 + 1 = 666.

12424422321 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 12424422321 - 211 = 12424420273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12424422323) 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 23 ways as a sum of consecutive naturals, for example, 1083106 + ... + 1094516.

It is an arithmetic number, because the mean of its divisors is an integer number (752164920).

Almost surely, 212424422321 is an apocalyptic number.

It is an amenable number.

12424422321 is a deficient number, since it is larger than the sum of its proper divisors (5627535759).

12424422321 is a wasteful number, since it uses less digits than its factorization.

12424422321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12117 (or 12114 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

Adding to 12424422321 its reverse (12322442421), we get a palindrome (24746864742).

The spelling of 12424422321 in words is "twelve billion, four hundred twenty-four million, four hundred twenty-two thousand, three hundred twenty-one".

Divisors: 1 3 9 311 389 933 1167 2799 3501 11411 34233 102699 120979 362937 1088811 3548821 4438879 10646463 13316637 31939389 39949911 1380491369 4141474107 12424422321