12026880 has 220 divisors, whose sum is σ = 44583660. Its totient is φ = 3096576.

The previous prime is 12026873. The next prime is 12026891. The reversal of 12026880 is 8862021.

It can be written as a sum of positive squares in 2 ways, for example, as 5308416 + 6718464 = 2304^2 + 2592^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 414706 + ... + 414734.

It is an arithmetic number, because the mean of its divisors is an integer number (202653).

Almost surely, 2^12026880 is an apocalyptic number.

12026880 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 12026880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22291830).

12026880 is an abundant number, since it is smaller than the sum of its proper divisors (32556780).

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

12026880 is an equidigital number, since it uses as much as digits as its factorization.

12026880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 12026880 is about 3467.9792386922. The cubic root of 12026880 is about 229.1136650246.

It can be divided in two parts, 120 and 26880, that added together give a cube (27000 = 30³).

The spelling of 12026880 in words is "twelve million, twenty-six thousand, eight hundred eighty".