12625656300 has 180 divisors, whose sum is σ = 41042841840. Its totient is φ = 3357348480.

The previous prime is 12625656299. The next prime is 12625656331. The reversal of 12625656300 is 365652621.

It is a happy number.

12625656300 is a `hidden beast` number, since 1 + 2 + 62 + 565 + 6 + 30 + 0 = 666.

12625656300 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 (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 59 ways as a sum of consecutive naturals, for example, 3148897 + ... + 3152903.

It is an arithmetic number, because the mean of its divisors is an integer number (228015788).

Almost surely, 2^12625656300 is an apocalyptic number.

12625656300 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 12625656300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20521420920).

12625656300 is an abundant number, since it is smaller than the sum of its proper divisors (28417185540).

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

12625656300 is a wasteful number, since it uses less digits than its factorization.

12625656300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4422 (or 4406 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 12625656300 in words is "twelve billion, six hundred twenty-five million, six hundred fifty-six thousand, three hundred".