110222113200 has 120 divisors (see below), whose sum is σ = 353707474368. Its totient is φ = 29340176640.

The previous prime is 110222113139. The next prime is 110222113231. The reversal of 110222113200 is 2311222011.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×110222113200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 110222113200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 594027 + ... + 757173.

Almost surely, 2^110222113200 is an apocalyptic number.

110222113200 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 110222113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176853737184).

110222113200 is an abundant number, since it is smaller than the sum of its proper divisors (243485361168).

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

110222113200 is a wasteful number, since it uses less digits than its factorization.

110222113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163731 (or 163720 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 110222113200 its reverse (2311222011), we get a palindrome (112533335211).

The spelling of 110222113200 in words is "one hundred ten billion, two hundred twenty-two million, one hundred thirteen thousand, two hundred".