12627163200 has 168 divisors, whose sum is σ = 41478720192. Its totient is φ = 3363092480.

The previous prime is 12627163189. The next prime is 12627163223. The reversal of 12627163200 is 236172621.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 7712782 + ... + 7714418.

It is an arithmetic number, because the mean of its divisors is an integer number (246897144).

Almost surely, 2^12627163200 is an apocalyptic number.

12627163200 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 12627163200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20739360096).

12627163200 is an abundant number, since it is smaller than the sum of its proper divisors (28851556992).

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

12627163200 is a wasteful number, since it uses less digits than its factorization.

12627163200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3269 (or 3254 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 12627163200 in words is "twelve billion, six hundred twenty-seven million, one hundred sixty-three thousand, two hundred".