11982180 has 96 divisors (see below), whose sum is σ = 39223296. Its totient is φ = 2676096.

The previous prime is 11982163. The next prime is 11982197. The reversal of 11982180 is 8128911.

It is an interprime number because it is at equal distance from previous prime (11982163) and next prime (11982197).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19437 + ... + 20043.

It is an arithmetic number, because the mean of its divisors is an integer number (408576).

Almost surely, 2^11982180 is an apocalyptic number.

11982180 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 11982180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19611648).

11982180 is an abundant number, since it is smaller than the sum of its proper divisors (27241116).

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

11982180 is a wasteful number, since it uses less digits than its factorization.

11982180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 30.

The square root of 11982180 is about 3461.5285640884. The cubic root of 11982180 is about 228.8294656576.

The spelling of 11982180 in words is "eleven million, nine hundred eighty-two thousand, one hundred eighty".