11112000 has 112 divisors (see below), whose sum is σ = 36771072. Its totient is φ = 2956800.

The previous prime is 11111993. The next prime is 11112007. The reversal of 11112000 is 21111.

It is an interprime number because it is at equal distance from previous prime (11111993) and next prime (11112007).

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 11112000.

It is not an unprimeable number, because it can be changed into a prime (11112007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23769 + ... + 24231.

Almost surely, 2^11112000 is an apocalyptic number.

11112000 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 11112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18385536).

11112000 is an abundant number, since it is smaller than the sum of its proper divisors (25659072).

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

11112000 is an equidigital number, since it uses as much as digits as its factorization.

11112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 473 counting only the distinct ones).

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

The square root of 11112000 is about 3333.4666640001. The cubic root of 11112000 is about 223.1502670505.

Adding to 11112000 its reverse (21111), we get a palindrome (11133111).

The spelling of 11112000 in words is "eleven million, one hundred twelve thousand".