110220211200000 has 672 divisors, whose sum is σ = 400753726994880. Its totient is φ = 26719846400000.

The previous prime is 110220211199971. The next prime is 110220211200007. The reversal of 110220211200000 is 2112022011.

110220211200000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (110220211200007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 844734766 + ... + 844865234.

It is an arithmetic number, because the mean of its divisors is an integer number (596359712790).

Almost surely, 2^{110220211200000} is an apocalyptic number.

110220211200000 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 110220211200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200376863497440).

110220211200000 is an abundant number, since it is smaller than the sum of its proper divisors (290533515794880).

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

110220211200000 is an frugal number, since it uses more digits than its factorization.

110220211200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130534 (or 130490 counting only the distinct ones).

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

Adding to 110220211200000 its reverse (2112022011), we get a palindrome (110222323222011).

The spelling of 110220211200000 in words is "one hundred ten trillion, two hundred twenty billion, two hundred eleven million, two hundred thousand".