12289170256272 has 2240 divisors, whose sum is σ = 48591669934080. Its totient is φ = 2917855789056.

The previous prime is 12289170256267. The next prime is 12289170256291. The reversal of 12289170256272 is 27265207198221.

It is a happy number.

12289170256272 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 9 + 1 + 7 + 0 + 2 + 5 + 627 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 447 ways as a sum of consecutive naturals, for example, 52743219868 + ... + 52743220100.

It is an arithmetic number, because the mean of its divisors is an integer number (21692709792).

Almost surely, 2^{12289170256272} is an apocalyptic number.

12289170256272 is a gapful number since it is divisible by the number (12) 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 12289170256272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24295834967040).

12289170256272 is an abundant number, since it is smaller than the sum of its proper divisors (36302499677808).

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

12289170256272 is a wasteful number, since it uses less digits than its factorization.

12289170256272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 12289170256272 in words is "twelve trillion, two hundred eighty-nine billion, one hundred seventy million, two hundred fifty-six thousand, two hundred seventy-two".