12256696320 has 768 divisors, whose sum is σ = 47551795200. Its totient is φ = 2660106240.

The previous prime is 12256696279. The next prime is 12256696337. The reversal of 12256696320 is 2369665221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 147670999 + ... + 147671081.

It is an arithmetic number, because the mean of its divisors is an integer number (61916400).

Almost surely, 2^12256696320 is an apocalyptic number.

12256696320 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 12256696320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23775897600).

12256696320 is an abundant number, since it is smaller than the sum of its proper divisors (35295098880).

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

12256696320 is a wasteful number, since it uses less digits than its factorization.

12256696320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 12256696320 in words is "twelve billion, two hundred fifty-six million, six hundred ninety-six thousand, three hundred twenty".