10112712 has 64 divisors (see below), whose sum is σ = 27091200. Its totient is φ = 3136320.

The previous prime is 10112701. The next prime is 10112723. The reversal of 10112712 is 21721101.

It is an interprime number because it is at equal distance from previous prime (10112701) and next prime (10112723).

It is a junction number, because it is equal to n+sod(n) for n = 10112691 and 10112700.

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 15 ways as a sum of consecutive naturals, for example, 30387 + ... + 30717.

It is an arithmetic number, because the mean of its divisors is an integer number (423300).

Almost surely, 2^10112712 is an apocalyptic number.

10112712 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 10112712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13545600).

10112712 is an abundant number, since it is smaller than the sum of its proper divisors (16978488).

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

10112712 is a wasteful number, since it uses less digits than its factorization.

10112712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 15.

The square root of 10112712 is about 3180.0490562254. The cubic root of 10112712 is about 216.2498822769.

Adding to 10112712 its reverse (21721101), we get a palindrome (31833813).

The spelling of 10112712 in words is "ten million, one hundred twelve thousand, seven hundred twelve".