12218580 has 192 divisors, whose sum is σ = 44271360. Its totient is φ = 2787840.

The previous prime is 12218537. The next prime is 12218587. The reversal of 12218580 is 8581221.

12218580 = T₁₈₉ + T₁₉₀ + ... + T₄₃₀.

12218580 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12218587) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 718732 + ... + 718748.

It is an arithmetic number, because the mean of its divisors is an integer number (230580).

Almost surely, 2^12218580 is an apocalyptic number.

12218580 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 12218580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22135680).

12218580 is an abundant number, since it is smaller than the sum of its proper divisors (32052780).

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

12218580 is a wasteful number, since it uses less digits than its factorization.

12218580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 12218580 is about 3495.5085466925. The cubic root of 12218580 is about 230.3245575480.

It can be divided in two parts, 122185 and 80, that added together give a triangular number (122265 = T₄₉₄).

The spelling of 12218580 in words is "twelve million, two hundred eighteen thousand, five hundred eighty".