12217120 has 48 divisors (see below), whose sum is σ = 29869560. Its totient is φ = 4716544.

The previous prime is 12217109. The next prime is 12217147. The reversal of 12217120 is 2171221.

12217120 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 4 ways, for example, as 7907344 + 4309776 = 2812^2 + 2076^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12217094 and 12217103.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3324 + ... + 5956.

Almost surely, 2^12217120 is an apocalyptic number.

12217120 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 12217120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14934780).

12217120 is an abundant number, since it is smaller than the sum of its proper divisors (17652440).

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

12217120 is a wasteful number, since it uses less digits than its factorization.

12217120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2677 (or 2669 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 12217120 is about 3495.2997010271. The cubic root of 12217120 is about 230.3153833437.

Adding to 12217120 its reverse (2171221), we get a palindrome (14388341).

It can be divided in two parts, 1 and 2217120, that added together give a square (2217121 = 1489²).

The spelling of 12217120 in words is "twelve million, two hundred seventeen thousand, one hundred twenty".