12224341430400 has 384 divisors, whose sum is σ = 43932572510400. Its totient is φ = 2962917376000.

The previous prime is 12224341430333. The next prime is 12224341430429. The reversal of 12224341430400 is 403414342221.

It is a tau number, because it is divible by the number of its divisors (384).

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

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, 953455990 + ... + 953468810.

Almost surely, 2^{12224341430400} is an apocalyptic number.

12224341430400 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 12224341430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21966286255200).

12224341430400 is an abundant number, since it is smaller than the sum of its proper divisors (31708231080000).

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

12224341430400 is a wasteful number, since it uses less digits than its factorization.

12224341430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21888 (or 21871 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 12224341430400 its reverse (403414342221), we get a palindrome (12627755772621).

The spelling of 12224341430400 in words is "twelve trillion, two hundred twenty-four billion, three hundred forty-one million, four hundred thirty thousand, four hundred".