12956223654400 has 480 divisors, whose sum is σ = 36664530819840. Its totient is φ = 4494840299520.

The previous prime is 12956223654379. The next prime is 12956223654401. The reversal of 12956223654400 is 445632265921.

It is not an unprimeable number, because it can be changed into a prime (12956223654401) by changing a digit.

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, 1830230061 + ... + 1830237139.

It is an arithmetic number, because the mean of its divisors is an integer number (76384439208).

Almost surely, 2^{12956223654400} is an apocalyptic number.

12956223654400 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 12956223654400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18332265409920).

12956223654400 is an abundant number, since it is smaller than the sum of its proper divisors (23708307165440).

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

12956223654400 is a wasteful number, since it uses less digits than its factorization.

12956223654400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7784 (or 7763 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 49.

The spelling of 12956223654400 in words is "twelve trillion, nine hundred fifty-six billion, two hundred twenty-three million, six hundred fifty-four thousand, four hundred".