12217680 has 120 divisors (see below), whose sum is σ = 41783040. Its totient is φ = 3198720.

The previous prime is 12217657. The next prime is 12217693. The reversal of 12217680 is 8671221.

12217680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51001 + ... + 51239.

It is an arithmetic number, because the mean of its divisors is an integer number (348192).

Almost surely, 2^12217680 is an apocalyptic number.

12217680 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 12217680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20891520).

12217680 is an abundant number, since it is smaller than the sum of its proper divisors (29565360).

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

12217680 is a wasteful number, since it uses less digits than its factorization.

12217680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 12217680 is about 3495.3798076890. The cubic root of 12217680 is about 230.3189023030.

The spelling of 12217680 in words is "twelve million, two hundred seventeen thousand, six hundred eighty".