11705120 has 72 divisors (see below), whose sum is σ = 32189724. Its totient is φ = 4010496.

The previous prime is 11705119. The next prime is 11705123. The reversal of 11705120 is 2150711.

It can be written as a sum of positive squares in 2 ways, for example, as 11478544 + 226576 = 3388^2 + 476^2 .

It is not an unprimeable number, because it can be changed into a prime (11705123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7094 + ... + 8586.

Almost surely, 2^11705120 is an apocalyptic number.

11705120 is a gapful number since it is divisible by the number (10) 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 11705120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16094862).

11705120 is an abundant number, since it is smaller than the sum of its proper divisors (20484604).

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

11705120 is a wasteful number, since it uses less digits than its factorization.

11705120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1522 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 17.

The square root of 11705120 is about 3421.2746162797. The cubic root of 11705120 is about 227.0519782386.

Adding to 11705120 its reverse (2150711), we get a palindrome (13855831).

The spelling of 11705120 in words is "eleven million, seven hundred five thousand, one hundred twenty".