12258400 has 144 divisors (see below), whose sum is σ = 37497600. Its totient is φ = 3801600.

The previous prime is 12258383. The next prime is 12258409. The reversal of 12258400 is 485221.

12258400 = T₂₁ + T₂₂ + ... + T₄₁₈.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12258409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61501 + ... + 61699.

It is an arithmetic number, because the mean of its divisors is an integer number (260400).

Almost surely, 2^12258400 is an apocalyptic number.

12258400 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 12258400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18748800).

12258400 is an abundant number, since it is smaller than the sum of its proper divisors (25239200).

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

12258400 is a wasteful number, since it uses less digits than its factorization.

12258400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 12258400 is about 3501.1997943562. The cubic root of 12258400 is about 230.5744932644.

The spelling of 12258400 in words is "twelve million, two hundred fifty-eight thousand, four hundred".