12727910400 has 192 divisors, whose sum is σ = 42094441200. Its totient is φ = 3393454080.

The previous prime is 12727910329. The next prime is 12727910411. The reversal of 12727910400 is 401972721.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2455011 + ... + 2460189.

Almost surely, 2^12727910400 is an apocalyptic number.

12727910400 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 12727910400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21047220600).

12727910400 is an abundant number, since it is smaller than the sum of its proper divisors (29366530800).

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

12727910400 is an frugal number, since it uses more digits than its factorization.

12727910400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5222 (or 5189 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The spelling of 12727910400 in words is "twelve billion, seven hundred twenty-seven million, nine hundred ten thousand, four hundred".