12250220400 has 720 divisors, whose sum is σ = 50774750208. Its totient is φ = 2700288000.

The previous prime is 12250220393. The next prime is 12250220419. The reversal of 12250220400 is 402205221.

12250220400 is a `hidden beast` number, since 12 + 250 + 2 + 2 + 0 + 400 = 666.

12250220400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 143 ways as a sum of consecutive naturals, for example, 20868907 + ... + 20869493.

Almost surely, 2^12250220400 is an apocalyptic number.

12250220400 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 12250220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25387375104).

12250220400 is an abundant number, since it is smaller than the sum of its proper divisors (38524529808).

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

12250220400 is a wasteful number, since it uses less digits than its factorization.

12250220400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 12250220400 its reverse (402205221), we get a palindrome (12652425621).

The spelling of 12250220400 in words is "twelve billion, two hundred fifty million, two hundred twenty thousand, four hundred".