12225424033200 has 480 divisors, whose sum is σ = 46291728568320. Its totient is φ = 2698899148800.

The previous prime is 12225424033183. The next prime is 12225424033219. The reversal of 12225424033200 is 233042452221.

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 95 ways as a sum of consecutive naturals, for example, 132497482 + ... + 132589718.

It is an arithmetic number, because the mean of its divisors is an integer number (96441101184).

Almost surely, 2^{12225424033200} is an apocalyptic number.

12225424033200 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 12225424033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23145864284160).

12225424033200 is an abundant number, since it is smaller than the sum of its proper divisors (34066304535120).

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

12225424033200 is a wasteful number, since it uses less digits than its factorization.

12225424033200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92805 (or 92794 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 12225424033200 its reverse (233042452221), we get a palindrome (12458466485421).

The spelling of 12225424033200 in words is "twelve trillion, two hundred twenty-five billion, four hundred twenty-four million, thirty-three thousand, two hundred".