12258800 has 60 divisors (see below), whose sum is σ = 31021080. Its totient is φ = 4642560.

The previous prime is 12258791. The next prime is 12258809. The reversal of 12258800 is 885221.

12258800 = T₁₉ + T₂₀ + ... + T₄₁₈.

It is an interprime number because it is at equal distance from previous prime (12258791) and next prime (12258809).

It is a self number, because there is not a number n which added to its sum of digits gives 12258800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12258809) 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 11 ways as a sum of consecutive naturals, for example, 6794 + ... + 8406.

It is an arithmetic number, because the mean of its divisors is an integer number (517018).

Almost surely, 2^12258800 is an apocalyptic number.

12258800 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 12258800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15510540).

12258800 is an abundant number, since it is smaller than the sum of its proper divisors (18762280).

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

12258800 is a wasteful number, since it uses less digits than its factorization.

12258800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 12258800 is about 3501.2569171656. The cubic root of 12258800 is about 230.5770011717.

The spelling of 12258800 in words is "twelve million, two hundred fifty-eight thousand, eight hundred".