12550507200 has 1260 divisors, whose sum is σ = 58666496840. Its totient is φ = 2607897600.

The previous prime is 12550507181. The next prime is 12550507213. The reversal of 12550507200 is 270505521.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (1260).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1140955195 + ... + 1140955205.

Almost surely, 2^12550507200 is an apocalyptic number.

12550507200 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 12550507200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29333248420).

12550507200 is an abundant number, since it is smaller than the sum of its proper divisors (46115989640).

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

12550507200 is an equidigital number, since it uses as much as digits as its factorization.

12550507200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

Multiplying 12550507200 by its sum of digits (27), we get a square (338863694400 = 582120²).

12550507200 divided by its sum of digits (27) gives a square (464833600 = 21560²).

The spelling of 12550507200 in words is "twelve billion, five hundred fifty million, five hundred seven thousand, two hundred".