11123112000 has 896 divisors, whose sum is σ = 49420320768. Its totient is φ = 2128896000.

The previous prime is 11123111977. The next prime is 11123112017. The reversal of 11123112000 is 21132111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24023769 + ... + 24024231.

It is an arithmetic number, because the mean of its divisors is an integer number (55156608).

Almost surely, 2^11123112000 is an apocalyptic number.

11123112000 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 11123112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24710160384).

11123112000 is an abundant number, since it is smaller than the sum of its proper divisors (38297208768).

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

11123112000 is a wasteful number, since it uses less digits than its factorization.

11123112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 11123112000 its reverse (21132111), we get a palindrome (11144244111).

The spelling of 11123112000 in words is "eleven billion, one hundred twenty-three million, one hundred twelve thousand".