12442141389600 has 648 divisors, whose sum is σ = 47538763222860. Its totient is φ = 3060739768320.

The previous prime is 12442141389583. The next prime is 12442141389611. The reversal of 12442141389600 is 698314124421.

12442141389600 is a `hidden beast` number, since 1 + 2 + 4 + 4 + 2 + 1 + 4 + 1 + 38 + 9 + 600 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 4077077904 + 12438064311696 = 63852^2 + 3526764^2 .

It is a super-3 number, since 3×12442141389600³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3301176516 + ... + 3301180284.

Almost surely, 2^{12442141389600} is an apocalyptic number.

12442141389600 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 12442141389600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23769381611430).

12442141389600 is an abundant number, since it is smaller than the sum of its proper divisors (35096621833260).

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

12442141389600 is a wasteful number, since it uses less digits than its factorization.

12442141389600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6534 (or 6505 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 12442141389600 in words is "twelve trillion, four hundred forty-two billion, one hundred forty-one million, three hundred eighty-nine thousand, six hundred".