12280968 has 108 divisors (see below), whose sum is σ = 39358215. Its totient is φ = 3449376.

The previous prime is 12280967. The next prime is 12280969. The reversal of 12280968 is 86908221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (12280967) and next prime (12280969).

It can be written as a sum of positive squares in only one way, i.e., 6140484 + 6140484 = 2478^2 + 2478^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2478.

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 (12280967) 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 26 ways as a sum of consecutive naturals, for example, 208123 + ... + 208181.

Almost surely, 2^12280968 is an apocalyptic number.

12280968 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 12280968

12280968 is an abundant number, since it is smaller than the sum of its proper divisors (27077247).

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

12280968 is a wasteful number, since it uses less digits than its factorization.

12280968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 12280968 is about 3504.4212075605. The cubic root of 12280968 is about 230.7159041910.

The spelling of 12280968 in words is "twelve million, two hundred eighty thousand, nine hundred sixty-eight".