110003112000 has 672 divisors, whose sum is σ = 414001695744. Its totient is φ = 27827712000.

The previous prime is 110003111983. The next prime is 110003112007. The reversal of 110003112000 is 211300011.

It is a super-4 number, since 4×110003112000⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (110003112007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 299735817 + ... + 299736183.

It is an arithmetic number, because the mean of its divisors is an integer number (616073952).

Almost surely, 2^110003112000 is an apocalyptic number.

110003112000 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 110003112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207000847872).

110003112000 is an abundant number, since it is smaller than the sum of its proper divisors (303998583744).

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

110003112000 is a wasteful number, since it uses less digits than its factorization.

110003112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 110003112000 its reverse (211300011), we get a palindrome (110214412011).

The spelling of 110003112000 in words is "one hundred ten billion, three million, one hundred twelve thousand".