12256358400000 has 3072 divisors, whose sum is σ = 55045876838400. Its totient is φ = 2654208000000.

The previous prime is 12256358399983. The next prime is 12256358400089. The reversal of 12256358400000 is 485365221.

12256358400000 is a `hidden beast` number, since 1 + 2 + 2 + 563 + 58 + 40 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

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 191 ways as a sum of consecutive naturals, for example, 395366399985 + ... + 395366400015.

It is an arithmetic number, because the mean of its divisors is an integer number (17918579700).

Almost surely, 2^{12256358400000} is an apocalyptic number.

12256358400000 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 12256358400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27522938419200).

12256358400000 is an abundant number, since it is smaller than the sum of its proper divisors (42789518438400).

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

12256358400000 is an frugal number, since it uses more digits than its factorization.

12256358400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 12256358400000 in words is "twelve trillion, two hundred fifty-six billion, three hundred fifty-eight million, four hundred thousand".