11966120 has 32 divisors (see below), whose sum is σ = 27042120. Its totient is φ = 4765440.

The previous prime is 11966111. The next prime is 11966159. The reversal of 11966120 is 2166911.

11966120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 11710084 + 256036 = 3422^2 + 506^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11966120.

It is a congruent number.

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, 11210 + ... + 12230.

Almost surely, 2^11966120 is an apocalyptic number.

11966120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11966120 is an abundant number, since it is smaller than the sum of its proper divisors (15076000).

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

11966120 is a wasteful number, since it uses less digits than its factorization.

11966120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 26.

The square root of 11966120 is about 3459.2080018409. The cubic root of 11966120 is about 228.7271847611.

The spelling of 11966120 in words is "eleven million, nine hundred sixty-six thousand, one hundred twenty".