12170245248 has 192 divisors, whose sum is σ = 41784055200. Its totient is φ = 3477164544.

The previous prime is 12170245247. The next prime is 12170245327. The reversal of 12170245248 is 84254207121.

12170245248 is a `hidden beast` number, since 1 + 2 + 170 + 245 + 248 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×12170245248² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12170245247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133411 + ... + 205277.

Almost surely, 2^12170245248 is an apocalyptic number.

12170245248 is a gapful number since it is divisible by the number (18) 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 12170245248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20892027600).

12170245248 is an abundant number, since it is smaller than the sum of its proper divisors (29613809952).

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

12170245248 is an equidigital number, since it uses as much as digits as its factorization.

12170245248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71904 (or 71879 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 12170245248 in words is "twelve billion, one hundred seventy million, two hundred forty-five thousand, two hundred forty-eight".