11970 has 48 divisors (see below), whose sum is σ = 37440. Its totient is φ = 2592.

The previous prime is 11969. The next prime is 11971. The reversal of 11970 is 7911.

Added to its reverse (7911) it gives a square (19881 = 141²).

11970 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11969) and next prime (11971).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 13.

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 621 + ... + 639.

It is an arithmetic number, because the mean of its divisors is an integer number (780).

2¹¹⁹⁷⁰ is an apocalyptic number.

11970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18720).

11970 is an abundant number, since it is smaller than the sum of its proper divisors (25470).

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

11970 is a wasteful number, since it uses less digits than its factorization.

11970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 18.

The square root of 11970 is about 109.4074951729. The cubic root of 11970 is about 22.8751903594.

11970 divided by its product of nonzero digits (63) gives a triangular number (190 = T₁₉).

Adding to 11970 its reverse (7911), we get a square (19881 = 141²).

The spelling of 11970 in words is "eleven thousand, nine hundred seventy".