11121000 has 128 divisors (see below), whose sum is σ = 37964160. Its totient is φ = 2688000.

The previous prime is 11120981. The next prime is 11121037. The reversal of 11121000 is 12111.

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 11121000.

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, 32832 + ... + 33168.

It is an arithmetic number, because the mean of its divisors is an integer number (296595).

Almost surely, 2^11121000 is an apocalyptic number.

11121000 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 11121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18982080).

11121000 is an abundant number, since it is smaller than the sum of its proper divisors (26843160).

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

11121000 is a wasteful number, since it uses less digits than its factorization.

11121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 358 counting only the distinct ones).

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

The square root of 11121000 is about 3334.8163367718. The cubic root of 11121000 is about 223.2104965452.

Adding to 11121000 its reverse (12111), we get a palindrome (11133111).

Subtracting from 11121000 its reverse (12111), we obtain a square (11108889 = 3333²).

It can be divided in two parts, 1112 and 1000, that added together give a palindrome (2112).

The spelling of 11121000 in words is "eleven million, one hundred twenty-one thousand".