12335280 has 80 divisors (see below), whose sum is σ = 38688000. Its totient is φ = 3250944.

The previous prime is 12335261. The next prime is 12335287. The reversal of 12335280 is 8253321.

It is a tau number, because it is divible by the number of its divisors (80).

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 12335280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12335287) 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, 24471 + ... + 24969.

It is an arithmetic number, because the mean of its divisors is an integer number (483600).

Almost surely, 2^12335280 is an apocalyptic number.

12335280 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 12335280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19344000).

12335280 is an abundant number, since it is smaller than the sum of its proper divisors (26352720).

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

12335280 is a wasteful number, since it uses less digits than its factorization.

12335280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 12335280 is about 3512.1617274835. The cubic root of 12335280 is about 231.0555141029.

The spelling of 12335280 in words is "twelve million, three hundred thirty-five thousand, two hundred eighty".