12290800 has 30 divisors (see below), whose sum is σ = 29529608. Its totient is φ = 4916160.

The previous prime is 12290749. The next prime is 12290801. The reversal of 12290800 is 809221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12290801) 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 5 ways as a sum of consecutive naturals, for example, 14964 + ... + 15763.

Almost surely, 2^12290800 is an apocalyptic number.

12290800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12290800 is an abundant number, since it is smaller than the sum of its proper divisors (17238808).

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

12290800 is a wasteful number, since it uses less digits than its factorization.

12290800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30745 (or 30734 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 12290800 is about 3505.8237263160. The cubic root of 12290800 is about 230.7774572566. Note that the first 3 decimals are identical.

The spelling of 12290800 in words is "twelve million, two hundred ninety thousand, eight hundred".