12125800 has 48 divisors (see below), whose sum is σ = 29685600. Its totient is φ = 4593600.

The previous prime is 12125767. The next prime is 12125803. The reversal of 12125800 is 852121.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (12125803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2205 + ... + 5395.

It is an arithmetic number, because the mean of its divisors is an integer number (618450).

Almost surely, 2^12125800 is an apocalyptic number.

12125800 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 12125800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14842800).

12125800 is an abundant number, since it is smaller than the sum of its proper divisors (17559800).

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

12125800 is a wasteful number, since it uses less digits than its factorization.

12125800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3226 (or 3217 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 12125800 is about 3482.2119407067. The cubic root of 12125800 is about 229.7400970913.

Adding to 12125800 its reverse (852121), we get a palindrome (12977921).

It can be divided in two parts, 121 and 25800, that added together give a square (25921 = 161²).

The spelling of 12125800 in words is "twelve million, one hundred twenty-five thousand, eight hundred".