12550400 has 108 divisors (see below), whose sum is σ = 32505732. Its totient is φ = 4792320.

The previous prime is 12550357. The next prime is 12550411. The reversal of 12550400 is 405521.

It can be written as a sum of positive squares in 6 ways, for example, as 495616 + 12054784 = 704^2 + 3472^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 236774 + ... + 236826.

It is an arithmetic number, because the mean of its divisors is an integer number (300979).

Almost surely, 2^12550400 is an apocalyptic number.

12550400 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 12550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16252866).

12550400 is an abundant number, since it is smaller than the sum of its proper divisors (19955332).

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

12550400 is an equidigital number, since it uses as much as digits as its factorization.

12550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 12550400 is about 3542.6543720775. The cubic root of 12550400 is about 232.3909381733.

Adding to 12550400 its reverse (405521), we get a palindrome (12955921).

The spelling of 12550400 in words is "twelve million, five hundred fifty thousand, four hundred".