11985700 has 36 divisors (see below), whose sum is σ = 26912340. Its totient is φ = 4627840.

The previous prime is 11985689. The next prime is 11985703. The reversal of 11985700 is 758911.

11985700 is nontrivially palindromic in base 12.

11985700 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 6 ways, for example, as 256 + 11985444 = 16^2 + 3462^2 .

It is not an unprimeable number, because it can be changed into a prime (11985703) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 834 + ... + 4966.

It is an arithmetic number, because the mean of its divisors is an integer number (747565).

Almost surely, 2^11985700 is an apocalyptic number.

11985700 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 11985700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13456170).

11985700 is an abundant number, since it is smaller than the sum of its proper divisors (14926640).

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

11985700 is a wasteful number, since it uses less digits than its factorization.

11985700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4176 (or 4169 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 31.

The square root of 11985700 is about 3462.0369726506. The cubic root of 11985700 is about 228.8518711758.

The spelling of 11985700 in words is "eleven million, nine hundred eighty-five thousand, seven hundred".