12290880 has 224 divisors, whose sum is σ = 46817280. Its totient is φ = 2672640.

The previous prime is 12290851. The next prime is 12290893. The reversal of 12290880 is 8809221.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208291 + ... + 208349.

Almost surely, 2^12290880 is an apocalyptic number.

12290880 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 12290880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23408640).

12290880 is an abundant number, since it is smaller than the sum of its proper divisors (34526400).

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

12290880 is a wasteful number, since it uses less digits than its factorization.

12290880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 12290880 is about 3505.8351358842. The cubic root of 12290880 is about 230.7779579606. Note that the first 3 decimals are identical.

The spelling of 12290880 in words is "twelve million, two hundred ninety thousand, eight hundred eighty".