11830120 has 32 divisors (see below), whose sum is σ = 26901000. Its totient is φ = 4681728.

The previous prime is 11830081. The next prime is 11830163. The reversal of 11830120 is 2103811.

It can be written as a sum of positive squares in 4 ways, for example, as 6749604 + 5080516 = 2598^2 + 2254^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11830094 and 11830103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2356 + ... + 5404.

Almost surely, 2^11830120 is an apocalyptic number.

11830120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11830120 is an abundant number, since it is smaller than the sum of its proper divisors (15070880).

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

11830120 is a wasteful number, since it uses less digits than its factorization.

11830120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3157 (or 3153 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 11830120 is about 3439.4941488539. The cubic root of 11830120 is about 227.8573540895.

Adding to 11830120 its reverse (2103811), we get a palindrome (13933931).

The spelling of 11830120 in words is "eleven million, eight hundred thirty thousand, one hundred twenty".