10125312 has 64 divisors (see below), whose sum is σ = 27262560. Its totient is φ = 3342336.

The previous prime is 10125307. The next prime is 10125317. The reversal of 10125312 is 21352101.

It is an interprime number because it is at equal distance from previous prime (10125307) and next prime (10125317).

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 10125291 and 10125300.

It is not an unprimeable number, because it can be changed into a prime (10125317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 98253 + ... + 98355.

Almost surely, 2^10125312 is an apocalyptic number.

10125312 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 10125312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13631280).

10125312 is an abundant number, since it is smaller than the sum of its proper divisors (17137248).

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

10125312 is an frugal number, since it uses more digits than its factorization.

10125312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 10125312 is about 3182.0295410319. The cubic root of 10125312 is about 216.3396576560.

Adding to 10125312 its reverse (21352101), we get a palindrome (31477413).

The spelling of 10125312 in words is "ten million, one hundred twenty-five thousand, three hundred twelve".