11282712 has 64 divisors (see below), whose sum is σ = 32486400. Its totient is φ = 3198720.

The previous prime is 11282707. The next prime is 11282717. The reversal of 11282712 is 21728211.

It is an interprime number because it is at equal distance from previous prime (11282707) and next prime (11282717).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11282717) 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, 40012 + ... + 40292.

It is an arithmetic number, because the mean of its divisors is an integer number (507600).

Almost surely, 2^11282712 is an apocalyptic number.

11282712 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 11282712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16243200).

11282712 is an abundant number, since it is smaller than the sum of its proper divisors (21203688).

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

11282712 is a wasteful number, since it uses less digits than its factorization.

11282712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 532 counting only the distinct ones).

The product of its digits is 448, while the sum is 24.

The square root of 11282712 is about 3358.9748436093. The cubic root of 11282712 is about 224.2872060006.

The spelling of 11282712 in words is "eleven million, two hundred eighty-two thousand, seven hundred twelve".