12986120 has 64 divisors (see below), whose sum is σ = 35164800. Its totient is φ = 4216320.

The previous prime is 12986111. The next prime is 12986153. The reversal of 12986120 is 2168921.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4100 + ... + 6540.

It is an arithmetic number, because the mean of its divisors is an integer number (549450).

Almost surely, 2^12986120 is an apocalyptic number.

12986120 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 12986120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17582400).

12986120 is an abundant number, since it is smaller than the sum of its proper divisors (22178680).

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

12986120 is a wasteful number, since it uses less digits than its factorization.

12986120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2478 (or 2474 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 12986120 is about 3603.6259517325. The cubic root of 12986120 is about 235.0497555731.

The spelling of 12986120 in words is "twelve million, nine hundred eighty-six thousand, one hundred twenty".