11781120 has 176 divisors, whose sum is σ = 41267520. Its totient is φ = 2850816.

The previous prime is 11781089. The next prime is 11781139. The reversal of 11781120 is 2118711.

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, 199651 + ... + 199709.

Almost surely, 2^11781120 is an apocalyptic number.

11781120 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 11781120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20633760).

11781120 is an abundant number, since it is smaller than the sum of its proper divisors (29486400).

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

11781120 is a wasteful number, since it uses less digits than its factorization.

11781120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 21.

The square root of 11781120 is about 3432.3636171012. The cubic root of 11781120 is about 227.5423259815.

Adding to 11781120 its reverse (2118711), we get a palindrome (13899831).

The spelling of 11781120 in words is "eleven million, seven hundred eighty-one thousand, one hundred twenty".