12245280 has 96 divisors (see below), whose sum is σ = 39118464. Its totient is φ = 3219456.

The previous prime is 12245263. The next prime is 12245293. The reversal of 12245280 is 8254221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12245280.

It is an unprimeable number.

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, 46429 + ... + 46691.

It is an arithmetic number, because the mean of its divisors is an integer number (407484).

Almost surely, 2^12245280 is an apocalyptic number.

12245280 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 12245280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19559232).

12245280 is an abundant number, since it is smaller than the sum of its proper divisors (26873184).

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

12245280 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (12245279) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (370).

12245280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 12245280 is about 3499.3256493216. The cubic root of 12245280 is about 230.4922036440.

The spelling of 12245280 in words is "twelve million, two hundred forty-five thousand, two hundred eighty".