12755625200 has 120 divisors (see below), whose sum is σ = 32134240896. Its totient is φ = 4856544000.

The previous prime is 12755625191. The next prime is 12755625217. The reversal of 12755625200 is 252655721.

12755625200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 1937915 + ... + 1944485.

Almost surely, 2^12755625200 is an apocalyptic number.

12755625200 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 12755625200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16067120448).

12755625200 is an abundant number, since it is smaller than the sum of its proper divisors (19378615696).

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

12755625200 is a wasteful number, since it uses less digits than its factorization.

12755625200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6823 (or 6812 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 35.

The spelling of 12755625200 in words is "twelve billion, seven hundred fifty-five million, six hundred twenty-five thousand, two hundred".