12229120 has 80 divisors (see below), whose sum is σ = 31156488. Its totient is φ = 4587520.

The previous prime is 12229117. The next prime is 12229127. The reversal of 12229120 is 2192221.

It can be written as a sum of positive squares in 4 ways, for example, as 11614464 + 614656 = 3408^2 + 784^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (12229127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43380 + ... + 43660.

Almost surely, 2^12229120 is an apocalyptic number.

12229120 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 12229120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15578244).

12229120 is an abundant number, since it is smaller than the sum of its proper divisors (18927368).

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

12229120 is an equidigital number, since it uses as much as digits as its factorization.

12229120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 12229120 is about 3497.0158707103. The cubic root of 12229120 is about 230.3907660908.

The spelling of 12229120 in words is "twelve million, two hundred twenty-nine thousand, one hundred twenty".