12041041242400 has 144 divisors (see below), whose sum is σ = 29452810524480. Its totient is φ = 4806984268800.

The previous prime is 12041041242353. The next prime is 12041041242401. The reversal of 12041041242400 is 424214014021.

It is a happy number.

12041041242400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (12041041242401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1108848171 + ... + 1108859029.

It is an arithmetic number, because the mean of its divisors is an integer number (204533406420).

Almost surely, 2^{12041041242400} is an apocalyptic number.

12041041242400 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 12041041242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14726405262240).

12041041242400 is an abundant number, since it is smaller than the sum of its proper divisors (17411769282080).

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

12041041242400 is a wasteful number, since it uses less digits than its factorization.

12041041242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13467 (or 13454 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 12041041242400 its reverse (424214014021), we get a palindrome (12465255256421).

The spelling of 12041041242400 in words is "twelve trillion, forty-one billion, forty-one million, two hundred forty-two thousand, four hundred".