110022211200 has 768 divisors, whose sum is σ = 417663267840. Its totient is φ = 25195315200.

The previous prime is 110022211193. The next prime is 110022211207. The reversal of 110022211200 is 2112220011.

It is an interprime number because it is at equal distance from previous prime (110022211193) and next prime (110022211207).

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

It is not an unprimeable number, because it can be changed into a prime (110022211207) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 235593367 + ... + 235593833.

It is an arithmetic number, because the mean of its divisors is an integer number (543832380).

Almost surely, 2^110022211200 is an apocalyptic number.

110022211200 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 110022211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208831633920).

110022211200 is an abundant number, since it is smaller than the sum of its proper divisors (307641056640).

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

110022211200 is a wasteful number, since it uses less digits than its factorization.

110022211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 110022211200 its reverse (2112220011), we get a palindrome (112134431211).

The spelling of 110022211200 in words is "one hundred ten billion, twenty-two million, two hundred eleven thousand, two hundred".