12218164 has 48 divisors (see below), whose sum is σ = 25966080. Its totient is φ = 4919040.

The previous prime is 12218153. The next prime is 12218179. The reversal of 12218164 is 46181221.

12218164 = T₉₂ + T₉₃ + ... + T₄₁₉.

It is a congruent number.

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, 33109 + ... + 33475.

It is an arithmetic number, because the mean of its divisors is an integer number (540960).

Almost surely, 2^12218164 is an apocalyptic number.

12218164 is a gapful number since it is divisible by the number (14) 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 12218164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12983040).

12218164 is an abundant number, since it is smaller than the sum of its proper divisors (13747916).

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

12218164 is a wasteful number, since it uses less digits than its factorization.

12218164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 446 counting only the distinct ones).

The product of its digits is 768, while the sum is 25.

The square root of 12218164 is about 3495.4490412535. The cubic root of 12218164 is about 230.3219436026.

Adding to 12218164 its reverse (46181221), we get a palindrome (58399385).

The spelling of 12218164 in words is "twelve million, two hundred eighteen thousand, one hundred sixty-four".