12649655200 has 288 divisors, whose sum is σ = 38826514944. Its totient is φ = 3917168640.

The previous prime is 12649655159. The next prime is 12649655297. The reversal of 12649655200 is 255694621.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3419752 + ... + 3423448.

It is an arithmetic number, because the mean of its divisors is an integer number (134814288).

Almost surely, 2^12649655200 is an apocalyptic number.

12649655200 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 12649655200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19413257472).

12649655200 is an abundant number, since it is smaller than the sum of its proper divisors (26176859744).

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

12649655200 is a wasteful number, since it uses less digits than its factorization.

12649655200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3784 (or 3771 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The spelling of 12649655200 in words is "twelve billion, six hundred forty-nine million, six hundred fifty-five thousand, two hundred".