125258112 has 192 divisors, whose sum is σ = 421668000. Its totient is φ = 35675136.

The previous prime is 125258101. The next prime is 125258117. The reversal of 125258112 is 211852521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125258117) 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 23 ways as a sum of consecutive naturals, for example, 394978 + ... + 395294.

Almost surely, 2^125258112 is an apocalyptic number.

125258112 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 125258112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210834000).

125258112 is an abundant number, since it is smaller than the sum of its proper divisors (296409888).

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

125258112 is an equidigital number, since it uses as much as digits as its factorization.

125258112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 329 counting only the distinct ones).

The product of its digits is 1600, while the sum is 27.

The square root of 125258112 is about 11191.8770543640. The cubic root of 125258112 is about 500.3439127272.

The spelling of 125258112 in words is "one hundred twenty-five million, two hundred fifty-eight thousand, one hundred twelve".