125205312 has 56 divisors (see below), whose sum is σ = 336251296. Its totient is φ = 41107968.

The previous prime is 125205287. The next prime is 125205313. The reversal of 125205312 is 213502521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125205313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7998 + ... + 17730.

Almost surely, 2^125205312 is an apocalyptic number.

125205312 is a gapful number since it is divisible by the number (12) 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 125205312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168125648).

125205312 is an abundant number, since it is smaller than the sum of its proper divisors (211045984).

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

125205312 is an equidigital number, since it uses as much as digits as its factorization.

125205312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9815 (or 9805 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 125205312 is about 11189.5179520835. The cubic root of 125205312 is about 500.2735995926.

Adding to 125205312 its reverse (213502521), we get a palindrome (338707833).

The spelling of 125205312 in words is "one hundred twenty-five million, two hundred five thousand, three hundred twelve".