12041324400 has 960 divisors, whose sum is σ = 49977658368. Its totient is φ = 2415329280.

The previous prime is 12041324359. The next prime is 12041324401. The reversal of 12041324400 is 442314021.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12041324401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 227194774 + ... + 227194826.

Almost surely, 2^12041324400 is an apocalyptic number.

12041324400 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 12041324400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24988829184).

12041324400 is an abundant number, since it is smaller than the sum of its proper divisors (37936333968).

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

12041324400 is a wasteful number, since it uses less digits than its factorization.

12041324400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 12041324400 its reverse (442314021), we get a palindrome (12483638421).

The spelling of 12041324400 in words is "twelve billion, forty-one million, three hundred twenty-four thousand, four hundred".