10211712 has 128 divisors (see below), whose sum is σ = 32313600. Its totient is φ = 2795520.

The previous prime is 10211711. The next prime is 10211723. The reversal of 10211712 is 21711201.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 10211691 and 10211700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211711) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77887 + ... + 78017.

It is an arithmetic number, because the mean of its divisors is an integer number (252450).

Almost surely, 2^10211712 is an apocalyptic number.

10211712 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 10211712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16156800).

10211712 is an abundant number, since it is smaller than the sum of its proper divisors (22101888).

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

10211712 is a wasteful number, since it uses less digits than its factorization.

10211712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 172 counting only the distinct ones).

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

The square root of 10211712 is about 3195.5769432139. The cubic root of 10211712 is about 216.9532628150.

Adding to 10211712 its reverse (21711201), we get a palindrome (31922913).

The spelling of 10211712 in words is "ten million, two hundred eleven thousand, seven hundred twelve".