12542230400 has 288 divisors, whose sum is σ = 36481258800. Its totient is φ = 4173742080.

The previous prime is 12542230373. The next prime is 12542230409. The reversal of 12542230400 is 403224521.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12542230409) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30665396 + ... + 30665804.

Almost surely, 2^12542230400 is an apocalyptic number.

12542230400 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 12542230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18240629400).

12542230400 is an abundant number, since it is smaller than the sum of its proper divisors (23939028400).

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

12542230400 is an equidigital number, since it uses as much as digits as its factorization.

12542230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 12542230400 its reverse (403224521), we get a palindrome (12945454921).

The spelling of 12542230400 in words is "twelve billion, five hundred forty-two million, two hundred thirty thousand, four hundred".