12241968 has 80 divisors (see below), whose sum is σ = 33304416. Its totient is φ = 3870720.

The previous prime is 12241961. The next prime is 12241979. The reversal of 12241968 is 86914221.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

Its product of digits (6912) is a multiple of the sum of its prime divisors (216).

It is not an unprimeable number, because it can be changed into a prime (12241961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108280 + ... + 108392.

Almost surely, 2^12241968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12241968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16652208).

12241968 is an abundant number, since it is smaller than the sum of its proper divisors (21062448).

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

12241968 is a wasteful number, since it uses less digits than its factorization.

12241968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 216 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 12241968 is about 3498.8523832823. The cubic root of 12241968 is about 230.4714212415.

It can be divided in two parts, 12 and 241968, that multiplied together give a square (2903616 = 1704²).

The spelling of 12241968 in words is "twelve million, two hundred forty-one thousand, nine hundred sixty-eight".