110211322112000 has 96 divisors (see below), whose sum is σ = 275020300605960. Its totient is φ = 44084528742400.

The previous prime is 110211322111997. The next prime is 110211322112029. The reversal of 110211322112000 is 211223112011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11074093106176 + 99137229005824 = 3327776^2 + 9956768^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 110211322112000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 215000489 + ... + 215512488.

Almost surely, 2^{110211322112000} is an apocalyptic number.

110211322112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110211322112000 is an abundant number, since it is smaller than the sum of its proper divisors (164808978493960).

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

110211322112000 is an frugal number, since it uses more digits than its factorization.

110211322112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430513014 (or 430512984 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 110211322112000 its reverse (211223112011), we get a palindrome (110422545224011).

The spelling of 110211322112000 in words is "one hundred ten trillion, two hundred eleven billion, three hundred twenty-two million, one hundred twelve thousand".