110002212000 has 288 divisors, whose sum is σ = 404860607424. Its totient is φ = 29333664000.

The previous prime is 110002211999. The next prime is 110002212029. The reversal of 110002212000 is 212200011.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 915415 + ... + 1028585.

It is an arithmetic number, because the mean of its divisors is an integer number (1405765998).

Almost surely, 2^110002212000 is an apocalyptic number.

110002212000 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 110002212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202430303712).

110002212000 is an abundant number, since it is smaller than the sum of its proper divisors (294858395424).

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

110002212000 is an equidigital number, since it uses as much as digits as its factorization.

110002212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113211 (or 113181 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 110002212000 its reverse (212200011), we get a palindrome (110214412011).

The spelling of 110002212000 in words is "one hundred ten billion, two million, two hundred twelve thousand".