10712312 has 64 divisors (see below), whose sum is σ = 23496480. Its totient is φ = 4534272.

The previous prime is 10712311. The next prime is 10712347. The reversal of 10712312 is 21321701.

It is a super-2 number, since 2×10712312² = 229507256770688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10712311) 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 15 ways as a sum of consecutive naturals, for example, 129023 + ... + 129105.

Almost surely, 2^10712312 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 10712312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11748240).

10712312 is an abundant number, since it is smaller than the sum of its proper divisors (12784168).

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

10712312 is a wasteful number, since it uses less digits than its factorization.

10712312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 188 counting only the distinct ones).

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

The square root of 10712312 is about 3272.9668498168. The cubic root of 10712312 is about 220.4420313711.

The spelling of 10712312 in words is "ten million, seven hundred twelve thousand, three hundred twelve".