11980000 has 60 divisors (see below), whose sum is σ = 29521800. Its totient is φ = 4784000.

The previous prime is 11979997. The next prime is 11980021. The reversal of 11980000 is 8911.

11980000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11980000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 19701 + ... + 20299.

It is an arithmetic number, because the mean of its divisors is an integer number (492030).

Almost surely, 2^11980000 is an apocalyptic number.

11980000 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 11980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14760900).

11980000 is an abundant number, since it is smaller than the sum of its proper divisors (17541800).

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

11980000 is an frugal number, since it uses more digits than its factorization.

11980000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

The square root of 11980000 is about 3461.2136599754. The cubic root of 11980000 is about 228.8155873124.

Adding to 11980000 its reverse (8911), we get a palindrome (11988911).

The spelling of 11980000 in words is "eleven million, nine hundred eighty thousand".