12625027200 has 384 divisors, whose sum is σ = 47202336000. Its totient is φ = 3293982720.

The previous prime is 12625027189. The next prime is 12625027231. The reversal of 12625027200 is 272052621.

12625027200 is a `hidden beast` number, since 12 + 625 + 0 + 2 + 7 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4059246 + ... + 4062354.

It is an arithmetic number, because the mean of its divisors is an integer number (122922750).

Almost surely, 2^12625027200 is an apocalyptic number.

12625027200 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 12625027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23601168000).

12625027200 is an abundant number, since it is smaller than the sum of its proper divisors (34577308800).

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

12625027200 is a wasteful number, since it uses less digits than its factorization.

12625027200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3189 (or 3166 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 12625027200 its reverse (272052621), we get a palindrome (12897079821).

The spelling of 12625027200 in words is "twelve billion, six hundred twenty-five million, twenty-seven thousand, two hundred".