125210000 has 100 divisors (see below), whose sum is σ = 319585200. Its totient is φ = 47376000.

The previous prime is 125209979. The next prime is 125210011. The reversal of 125210000 is 12521.

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 189671 + ... + 190329.

It is an arithmetic number, because the mean of its divisors is an integer number (3195852).

Almost surely, 2^125210000 is an apocalyptic number.

125210000 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 125210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159792600).

125210000 is an abundant number, since it is smaller than the sum of its proper divisors (194375200).

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

125210000 is an equidigital number, since it uses as much as digits as its factorization.

125210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 125210000 is about 11189.7274318904. The cubic root of 125210000 is about 500.2798433462.

Adding to 125210000 its reverse (12521), we get a palindrome (125222521).

Multiplying 125210000 by its reverse (12521), we get a square (1567754410000 = 1252100²).

125210000 divided by its reverse (12521) gives a 4-th power (10000 = 10⁴).

The spelling of 125210000 in words is "one hundred twenty-five million, two hundred ten thousand".