110222122000 has 80 divisors (see below), whose sum is σ = 267990441264. Its totient is φ = 43845120000.

The previous prime is 110222121829. The next prime is 110222122037. The reversal of 110222122000 is 221222011.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 83303813376 + 26918308624 = 288624^2 + 164068^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209760 + ... + 514240.

Almost surely, 2^110222122000 is an apocalyptic number.

110222122000 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 110222122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133995220632).

110222122000 is an abundant number, since it is smaller than the sum of its proper divisors (157768319264).

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

110222122000 is a wasteful number, since it uses less digits than its factorization.

110222122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304685 (or 304669 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 110222122000 its reverse (221222011), we get a palindrome (110443344011).

The spelling of 110222122000 in words is "one hundred ten billion, two hundred twenty-two million, one hundred twenty-two thousand".