10127312 has 40 divisors (see below), whose sum is σ = 21326760. Its totient is φ = 4631040.

The previous prime is 10127279. The next prime is 10127321. The reversal of 10127312 is 21372101.

It can be written as a sum of positive squares in 4 ways, for example, as 1577536 + 8549776 = 1256^2 + 2924^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37514 + ... + 37782.

It is an arithmetic number, because the mean of its divisors is an integer number (533169).

Almost surely, 2^10127312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10127312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10663380).

10127312 is an abundant number, since it is smaller than the sum of its proper divisors (11199448).

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

10127312 is a wasteful number, since it uses less digits than its factorization.

10127312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 10127312 is about 3182.3437903533. The cubic root of 10127312 is about 216.3539008658.

Adding to 10127312 its reverse (21372101), we get a palindrome (31499413).

The spelling of 10127312 in words is "ten million, one hundred twenty-seven thousand, three hundred twelve".