12825000 has 192 divisors, whose sum is σ = 46872000. Its totient is φ = 3240000.

The previous prime is 12824983. The next prime is 12825011. The reversal of 12825000 is 52821.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 674991 + ... + 675009.

It is an arithmetic number, because the mean of its divisors is an integer number (244125).

Almost surely, 2^12825000 is an apocalyptic number.

12825000 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 12825000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23436000).

12825000 is an abundant number, since it is smaller than the sum of its proper divisors (34047000).

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

12825000 is an equidigital number, since it uses as much as digits as its factorization.

12825000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 12825000 is about 3581.2009158940. The cubic root of 12825000 is about 234.0736126062.

Adding to 12825000 its reverse (52821), we get a palindrome (12877821).

It can be divided in two parts, 128 and 25000, that multiplied together give a 5-th power (3200000 = 20⁵).

The spelling of 12825000 in words is "twelve million, eight hundred twenty-five thousand".