12055120 has 160 divisors (see below), whose sum is σ = 37140480. Its totient is φ = 3525120.

The previous prime is 12055117. The next prime is 12055123. The reversal of 12055120 is 2155021.

It is an interprime number because it is at equal distance from previous prime (12055117) and next prime (12055123).

It is a super-3 number, since 3×12055120³ (a number of 22 digits) contains 333 as substring.

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 = 12055094 and 12055103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12055123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116989 + ... + 117091.

It is an arithmetic number, because the mean of its divisors is an integer number (232128).

Almost surely, 2^12055120 is an apocalyptic number.

12055120 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 12055120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18570240).

12055120 is an abundant number, since it is smaller than the sum of its proper divisors (25085360).

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

12055120 is a wasteful number, since it uses less digits than its factorization.

12055120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 12055120 is about 3472.0483867596. The cubic root of 12055120 is about 229.2928501043.

Subtracting from 12055120 its reverse (2155021), we obtain a palindrome (9900099).

The spelling of 12055120 in words is "twelve million, fifty-five thousand, one hundred twenty".