12051120 has 80 divisors (see below), whose sum is σ = 37720800. Its totient is φ = 3182592.

The previous prime is 12051119. The next prime is 12051121. The reversal of 12051120 is 2115021.

12051120 = T₃₃₅ + T₃₃₆ + ... + T₄₇₈.

It is an interprime number because it is at equal distance from previous prime (12051119) and next prime (12051121).

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

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12051096 and 12051105.

It is not an unprimeable number, because it can be changed into a prime (12051121) 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 15 ways as a sum of consecutive naturals, for example, 35592 + ... + 35928.

It is an arithmetic number, because the mean of its divisors is an integer number (471510).

Almost surely, 2^12051120 is an apocalyptic number.

12051120 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 12051120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18860400).

12051120 is an abundant number, since it is smaller than the sum of its proper divisors (25669680).

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

12051120 is a wasteful number, since it uses less digits than its factorization.

12051120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 12051120 is about 3471.4723101301. The cubic root of 12051120 is about 229.2674868046.

Adding to 12051120 its reverse (2115021), we get a palindrome (14166141).

The spelling of 12051120 in words is "twelve million, fifty-one thousand, one hundred twenty".