12111000 has 128 divisors (see below), whose sum is σ = 41333760. Its totient is φ = 2928000.

The previous prime is 12110971. The next prime is 12111017. The reversal of 12111000 is 11121.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12111000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32817 + ... + 33183.

It is an arithmetic number, because the mean of its divisors is an integer number (322920).

Almost surely, 2^12111000 is an apocalyptic number.

12111000 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 12111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20666880).

12111000 is an abundant number, since it is smaller than the sum of its proper divisors (29222760).

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

12111000 is a wasteful number, since it uses less digits than its factorization.

12111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 12111000 is about 3480.0862058288. The cubic root of 12111000 is about 229.6465901965.

Adding to 12111000 its reverse (11121), we get a palindrome (12122121).

It can be divided in two parts, 1211 and 1000, that added together give a triangular number (2211 = T₆₆).

The spelling of 12111000 in words is "twelve million, one hundred eleven thousand".