12042441442200 has 192 divisors, whose sum is σ = 40244151709440. Its totient is φ = 2961275834880.

The previous prime is 12042441442189. The next prime is 12042441442201. The reversal of 12042441442200 is 224414424021.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12042441442201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6882099 + ... + 8452701.

It is an arithmetic number, because the mean of its divisors is an integer number (209604956820).

Almost surely, 2^{12042441442200} is an apocalyptic number.

12042441442200 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 12042441442200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20122075854720).

12042441442200 is an abundant number, since it is smaller than the sum of its proper divisors (28201710267240).

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

12042441442200 is a wasteful number, since it uses less digits than its factorization.

12042441442200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1571618 (or 1571609 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 12042441442200 its reverse (224414424021), we get a palindrome (12266855866221).

The spelling of 12042441442200 in words is "twelve trillion, forty-two billion, four hundred forty-one million, four hundred forty-two thousand, two hundred".