12090120 has 128 divisors (see below), whose sum is σ = 42681600. Its totient is φ = 2681856.

The previous prime is 12090119. The next prime is 12090131. The reversal of 12090120 is 2109021.

12090120 = 158² + 159² + ... + 342².

It is a happy number.

It is a super-2 number, since 2×12090120² = 292342003228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12090120.

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 31 ways as a sum of consecutive naturals, for example, 30886 + ... + 31274.

It is an arithmetic number, because the mean of its divisors is an integer number (333450).

Almost surely, 2^12090120 is an apocalyptic number.

12090120 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 12090120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21340800).

12090120 is an abundant number, since it is smaller than the sum of its proper divisors (30591480).

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

12090120 is a wasteful number, since it uses less digits than its factorization.

12090120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 12090120 is about 3477.0849860192. The cubic root of 12090120 is about 229.5145400198.

Adding to 12090120 its reverse (2109021), we get a palindrome (14199141).

The spelling of 12090120 in words is "twelve million, ninety thousand, one hundred twenty".