12541214400 has 672 divisors, whose sum is σ = 49061193216. Its totient is φ = 2787840000.

The previous prime is 12541214383. The next prime is 12541214429. The reversal of 12541214400 is 441214521.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83054325 + ... + 83054475.

It is an arithmetic number, because the mean of its divisors is an integer number (73007728).

Almost surely, 2^12541214400 is an apocalyptic number.

12541214400 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 12541214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24530596608).

12541214400 is an abundant number, since it is smaller than the sum of its proper divisors (36519978816).

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

12541214400 is a wasteful number, since it uses less digits than its factorization.

12541214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 12541214400 its reverse (441214521), we get a palindrome (12982428921).

It can be divided in two parts, 1254121 and 4400, that added together give a palindrome (1258521).

The spelling of 12541214400 in words is "twelve billion, five hundred forty-one million, two hundred fourteen thousand, four hundred".