12627241200 has 720 divisors, whose sum is σ = 53006607360. Its totient is φ = 2846430720.

The previous prime is 12627241199. The next prime is 12627241259. The reversal of 12627241200 is 214272621.

12627241200 is a `hidden beast` number, since 1 + 2 + 627 + 24 + 12 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×12627241200³ (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 56624289 + ... + 56624511.

It is an arithmetic number, because the mean of its divisors is an integer number (73620288).

Almost surely, 2^12627241200 is an apocalyptic number.

12627241200 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 12627241200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26503303680).

12627241200 is an abundant number, since it is smaller than the sum of its proper divisors (40379366160).

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

12627241200 is a wasteful number, since it uses less digits than its factorization.

12627241200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 12627241200 in words is "twelve billion, six hundred twenty-seven million, two hundred forty-one thousand, two hundred".