12256495680 has 896 divisors, whose sum is σ = 49813585920. Its totient is φ = 2508226560.

The previous prime is 12256495651. The next prime is 12256495711. The reversal of 12256495680 is 8659465221.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 96507777 + ... + 96507903.

It is an arithmetic number, because the mean of its divisors is an integer number (55595520).

Almost surely, 2^12256495680 is an apocalyptic number.

12256495680 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 12256495680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24906792960).

12256495680 is an abundant number, since it is smaller than the sum of its proper divisors (37557090240).

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

12256495680 is a wasteful number, since it uses less digits than its factorization.

12256495680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 12256495680 in words is "twelve billion, two hundred fifty-six million, four hundred ninety-five thousand, six hundred eighty".