11702112 has 48 divisors (see below), whose sum is σ = 31127040. Its totient is φ = 3848832.

The previous prime is 11702111. The next prime is 11702113. The reversal of 11702112 is 21120711.

It is an interprime number because it is at equal distance from previous prime (11702111) and next prime (11702113).

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 11702091 and 11702100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11702111) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 6813 + ... + 8355.

It is an arithmetic number, because the mean of its divisors is an integer number (648480).

Almost surely, 2^11702112 is an apocalyptic number.

11702112 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 11702112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15563520).

11702112 is an abundant number, since it is smaller than the sum of its proper divisors (19424928).

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

11702112 is a wasteful number, since it uses less digits than its factorization.

11702112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635 (or 1627 counting only the distinct ones).

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

The square root of 11702112 is about 3420.8349857893. The cubic root of 11702112 is about 227.0325271818.

Adding to 11702112 its reverse (21120711), we get a palindrome (32822823).

The spelling of 11702112 in words is "eleven million, seven hundred two thousand, one hundred twelve".