12041414224400 has 240 divisors, whose sum is σ = 32235350519808. Its totient is φ = 4285332480000.

The previous prime is 12041414224397. The next prime is 12041414224457. The reversal of 12041414224400 is 442241414021.

12041414224400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93448817 + ... + 93577583.

Almost surely, 2^{12041414224400} is an apocalyptic number.

12041414224400 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 12041414224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16117675259904).

12041414224400 is an abundant number, since it is smaller than the sum of its proper divisors (20193936295408).

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

12041414224400 is a wasteful number, since it uses less digits than its factorization.

12041414224400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129250 (or 129239 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 29.

Adding to 12041414224400 its reverse (442241414021), we get a palindrome (12483655638421).

The spelling of 12041414224400 in words is "twelve trillion, forty-one billion, four hundred fourteen million, two hundred twenty-four thousand, four hundred".