12550220400 has 240 divisors, whose sum is σ = 41304856320. Its totient is φ = 3256166400.

The previous prime is 12550220393. The next prime is 12550220401. The reversal of 12550220400 is 402205521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12550220401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7291540 + ... + 7293260.

It is an arithmetic number, because the mean of its divisors is an integer number (172103568).

Almost surely, 2^12550220400 is an apocalyptic number.

12550220400 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 12550220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20652428160).

12550220400 is an abundant number, since it is smaller than the sum of its proper divisors (28754635920).

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

12550220400 is a wasteful number, since it uses less digits than its factorization.

12550220400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904 (or 1893 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

Adding to 12550220400 its reverse (402205521), we get a palindrome (12952425921).

The spelling of 12550220400 in words is "twelve billion, five hundred fifty million, two hundred twenty thousand, four hundred".