110001122000 has 320 divisors, whose sum is σ = 333423088128. Its totient is φ = 34099200000.

The previous prime is 110001121999. The next prime is 110001122123. The reversal of 110001122000 is 221100011.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29720150 + ... + 29723850.

Almost surely, 2^110001122000 is an apocalyptic number.

110001122000 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 110001122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166711544064).

110001122000 is an abundant number, since it is smaller than the sum of its proper divisors (223421966128).

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

110001122000 is a wasteful number, since it uses less digits than its factorization.

110001122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3935 (or 3919 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 110001122000 its reverse (221100011), we get a palindrome (110222222011).

The spelling of 110001122000 in words is "one hundred ten billion, one million, one hundred twenty-two thousand".