125027712 has 160 divisors (see below), whose sum is σ = 385070400. Its totient is φ = 40227840.

The previous prime is 125027659. The next prime is 125027713. The reversal of 125027712 is 217720521.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125027713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 321214 + ... + 321602.

It is an arithmetic number, because the mean of its divisors is an integer number (2406690).

Almost surely, 2^125027712 is an apocalyptic number.

125027712 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 125027712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192535200).

125027712 is an abundant number, since it is smaller than the sum of its proper divisors (260042688).

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

125027712 is an equidigital number, since it uses as much as digits as its factorization.

125027712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 125027712 is about 11181.5791371344. The cubic root of 125027712 is about 500.0369466032.

The spelling of 125027712 in words is "one hundred twenty-five million, twenty-seven thousand, seven hundred twelve".