12651249600 has 672 divisors, whose sum is σ = 51099110400. Its totient is φ = 3019161600.

The previous prime is 12651249599. The next prime is 12651249641. The reversal of 12651249600 is 694215621.

12651249600 is a `hidden beast` number, since 1 + 2 + 6 + 5 + 1 + 2 + 49 + 600 = 666.

12651249600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 37540632 + ... + 37540968.

Almost surely, 2^12651249600 is an apocalyptic number.

12651249600 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 12651249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25549555200).

12651249600 is an abundant number, since it is smaller than the sum of its proper divisors (38447860800).

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

12651249600 is a wasteful number, since it uses less digits than its factorization.

12651249600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 12651249600 in words is "twelve billion, six hundred fifty-one million, two hundred forty-nine thousand, six hundred".