12424242418900 has 144 divisors (see below), whose sum is σ = 29752204955760. Its totient is φ = 4474087833600.

The previous prime is 12424242418883. The next prime is 12424242418919. The reversal of 12424242418900 is 981424242421.

It can be written as a sum of positive squares in 24 ways, for example, as 9358227410884 + 3066015008016 = 3059122^2 + 1751004^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 173562316 + ... + 173633884.

It is an arithmetic number, because the mean of its divisors is an integer number (206612534415).

Almost surely, 2^{12424242418900} is an apocalyptic number.

12424242418900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12424242418900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14876102477880).

12424242418900 is an abundant number, since it is smaller than the sum of its proper divisors (17327962536860).

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

12424242418900 is a wasteful number, since it uses less digits than its factorization.

12424242418900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74894 (or 74887 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 43.

The spelling of 12424242418900 in words is "twelve trillion, four hundred twenty-four billion, two hundred forty-two million, four hundred eighteen thousand, nine hundred".