12145680 has 80 divisors (see below), whose sum is σ = 41842560. Its totient is φ = 3238272.

The previous prime is 12145673. The next prime is 12145699. The reversal of 12145680 is 8654121.

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 (27).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 652 + ... + 4971.

It is an arithmetic number, because the mean of its divisors is an integer number (523032).

Almost surely, 2^12145680 is an apocalyptic number.

12145680 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 12145680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20921280).

12145680 is an abundant number, since it is smaller than the sum of its proper divisors (29696880).

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

12145680 is a wasteful number, since it uses less digits than its factorization.

12145680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5645 (or 5633 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 12145680 is about 3485.0652791591. The cubic root of 12145680 is about 229.8655799306.

The spelling of 12145680 in words is "twelve million, one hundred forty-five thousand, six hundred eighty".