12234401414400 has 216 divisors, whose sum is σ = 44046626397984. Its totient is φ = 2965915443200.

The previous prime is 12234401414387. The next prime is 12234401414437. The reversal of 12234401414400 is 441410443221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28752819 + ... + 29175218.

Almost surely, 2^{12234401414400} is an apocalyptic number.

12234401414400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12234401414400 is an abundant number, since it is smaller than the sum of its proper divisors (31812224983584).

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

12234401414400 is a wasteful number, since it uses less digits than its factorization.

12234401414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57928077 (or 57928058 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 12234401414400 its reverse (441410443221), we get a palindrome (12675811857621).

The spelling of 12234401414400 in words is "twelve trillion, two hundred thirty-four billion, four hundred one million, four hundred fourteen thousand, four hundred".