12424011010400 has 144 divisors (see below), whose sum is σ = 33093097874928. Its totient is φ = 4517044224000.

The previous prime is 12424011010391. The next prime is 12424011010421. The reversal of 12424011010400 is 401011042421.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52267820 + ... + 52504980.

It is an arithmetic number, because the mean of its divisors is an integer number (229813179687).

Almost surely, 2^{12424011010400} is an apocalyptic number.

12424011010400 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 12424011010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16546548937464).

12424011010400 is an abundant number, since it is smaller than the sum of its proper divisors (20669086864528).

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

12424011010400 is a wasteful number, since it uses less digits than its factorization.

12424011010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243145 (or 243132 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 12424011010400 its reverse (401011042421), we get a palindrome (12825022052821).

The spelling of 12424011010400 in words is "twelve trillion, four hundred twenty-four billion, eleven million, ten thousand, four hundred".