12891120 has 160 divisors (see below), whose sum is σ = 46068480. Its totient is φ = 2949120.

The previous prime is 12891119. The next prime is 12891157. The reversal of 12891120 is 2119821.

12891120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50032 + ... + 50288.

It is an arithmetic number, because the mean of its divisors is an integer number (287928).

Almost surely, 2^12891120 is an apocalyptic number.

12891120 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 12891120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23034240).

12891120 is an abundant number, since it is smaller than the sum of its proper divisors (33177360).

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

12891120 is a wasteful number, since it uses less digits than its factorization.

12891120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 12891120 is about 3590.4205881763. The cubic root of 12891120 is about 234.4751831264.

The spelling of 12891120 in words is "twelve million, eight hundred ninety-one thousand, one hundred twenty".