11782120 has 64 divisors (see below), whose sum is σ = 31363200. Its totient is φ = 3897600.

The previous prime is 11782117. The next prime is 11782153. The reversal of 11782120 is 2128711.

It is a junction number, because it is equal to n+sod(n) for n = 11782091 and 11782100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7395 + ... + 8845.

It is an arithmetic number, because the mean of its divisors is an integer number (490050).

Almost surely, 2^11782120 is an apocalyptic number.

11782120 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 11782120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15681600).

11782120 is an abundant number, since it is smaller than the sum of its proper divisors (19581080).

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

11782120 is a wasteful number, since it uses less digits than its factorization.

11782120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1498 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 22.

The square root of 11782120 is about 3432.5092862220. The cubic root of 11782120 is about 227.5487638495.

The spelling of 11782120 in words is "eleven million, seven hundred eighty-two thousand, one hundred twenty".