12342844824321 has 32 divisors (see below), whose sum is σ = 18247514568192. Its totient is φ = 7358666591360.

The previous prime is 12342844824311. The next prime is 12342844824379.

12342844824321 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 12342844824321 - 2¹³ = 12342844816129 is a prime.

It is a super-2 number, since 2×12342844824321² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12342844824311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9032055 + ... + 10308428.

It is an arithmetic number, because the mean of its divisors is an integer number (570234830256).

Almost surely, 2^{12342844824321} is an apocalyptic number.

12342844824321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12342844824321 is a deficient number, since it is larger than the sum of its proper divisors (5904669743871).

12342844824321 is a wasteful number, since it uses less digits than its factorization.

12342844824321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19340813.

The product of its digits is 2359296, while the sum is 48.

The spelling of 12342844824321 in words is "twelve trillion, three hundred forty-two billion, eight hundred forty-four million, eight hundred twenty-four thousand, three hundred twenty-one".