125724312 has 96 divisors (see below), whose sum is σ = 403603200. Its totient is φ = 35917344.

The previous prime is 125724307. The next prime is 125724317. The reversal of 125724312 is 213427521.

It is an interprime number because it is at equal distance from previous prime (125724307) and next prime (125724317).

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 (125724317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8989 + ... + 18227.

It is an arithmetic number, because the mean of its divisors is an integer number (4204200).

Almost surely, 2^125724312 is an apocalyptic number.

125724312 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 125724312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201801600).

125724312 is an abundant number, since it is smaller than the sum of its proper divisors (277878888).

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

125724312 is an equidigital number, since it uses as much as digits as its factorization.

125724312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9267 (or 9251 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 125724312 is about 11212.6853161943. The cubic root of 125724312 is about 500.9638899715.

The spelling of 125724312 in words is "one hundred twenty-five million, seven hundred twenty-four thousand, three hundred twelve".