110002212211200 has 240 divisors, whose sum is σ = 364291681982976. Its totient is φ = 29260767232000.

The previous prime is 110002212211123. The next prime is 110002212211231. The reversal of 110002212211200 is 2112212200011.

It is a tau number, because it is divible by the number of its divisors (240).

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 110002212211200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11826529 + ... + 18970271.

Almost surely, 2^{110002212211200} is an apocalyptic number.

110002212211200 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 110002212211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182145840991488).

110002212211200 is an abundant number, since it is smaller than the sum of its proper divisors (254289469771776).

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

110002212211200 is an equidigital number, since it uses as much as digits as its factorization.

110002212211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7144175 (or 7144154 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 110002212211200 its reverse (2112212200011), we get a palindrome (112114424411211).

The spelling of 110002212211200 in words is "one hundred ten trillion, two billion, two hundred twelve million, two hundred eleven thousand, two hundred".