11712 has 28 divisors (see below), whose sum is σ = 31496. Its totient is φ = 3840.

The previous prime is 11701. The next prime is 11717. The reversal of 11712 is 21711.

11712 is nontrivially palindromic in base 11.

It is a hoax number, since the sum of its digits (12) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (12).

11712 is a nontrivial repdigit in base 11.

It is a plaindrome in base 11.

It is a nialpdrome in base 5 and base 11.

It is a zygodrome in base 5 and base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11717) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 162 + ... + 222.

2^{11712} is an apocalyptic number.

11712 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 11712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15748).

11712 is an abundant number, since it is smaller than the sum of its proper divisors (19784).

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

11712 is an equidigital number, since it uses as much as digits as its factorization.

11712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 66 counting only the distinct ones).

The product of its digits is 14, while the sum is 12.

The square root of 11712 is about 108.2219940677. The cubic root of 11712 is about 22.7096454834.

Subtracting 11712 from its reverse (21711), we obtain a palindrome (9999).

The spelling of 11712 in words is "eleven thousand, seven hundred twelve", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 183 192 244 366 488 732 976 1464 1952 2928 3904 5856 11712

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