11121112000 has 224 divisors, whose sum is σ = 28324820160. Its totient is φ = 4324147200.

The previous prime is 11121111979. The next prime is 11121112021. The reversal of 11121112000 is 21112111.

It is an interprime number because it is at equal distance from previous prime (11121111979) and next prime (11121112021).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80007931 + ... + 80008069.

It is an arithmetic number, because the mean of its divisors is an integer number (126450090).

Almost surely, 2^11121112000 is an apocalyptic number.

11121112000 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 11121112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14162410080).

11121112000 is an abundant number, since it is smaller than the sum of its proper divisors (17203708160).

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

11121112000 is a wasteful number, since it uses less digits than its factorization.

11121112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11121112000 its reverse (21112111), we get a palindrome (11142224111).

It can be divided in two parts, 1112111 and 2000, that added together give a palindrome (1114111).

The spelling of 11121112000 in words is "eleven billion, one hundred twenty-one million, one hundred twelve thousand".