12676663200 has 288 divisors, whose sum is σ = 43872192000. Its totient is φ = 3170257920.

The previous prime is 12676663177. The next prime is 12676663253. The reversal of 12676663200 is 236667621.

12676663200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×12676663200³ (a number of 31 digits) contains 333 as substring.

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 47 ways as a sum of consecutive naturals, for example, 4695451 + ... + 4698149.

It is an arithmetic number, because the mean of its divisors is an integer number (152334000).

Almost surely, 2^12676663200 is an apocalyptic number.

12676663200 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 12676663200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21936096000).

12676663200 is an abundant number, since it is smaller than the sum of its proper divisors (31195528800).

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

12676663200 is a wasteful number, since it uses less digits than its factorization.

12676663200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2844 (or 2831 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The spelling of 12676663200 in words is "twelve billion, six hundred seventy-six million, six hundred sixty-three thousand, two hundred".