110212122112000 has 208 divisors, whose sum is σ = 276575754821184. Its totient is φ = 43841249280000.

The previous prime is 110212122111983. The next prime is 110212122112003. The reversal of 110212122112000 is 211221212011.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110212122112003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 92077365 + ... + 93266635.

It is an arithmetic number, because the mean of its divisors is an integer number (1329691128948).

Almost surely, 2^{110212122112000} is an apocalyptic number.

110212122112000 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 110212122112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138287877410592).

110212122112000 is an abundant number, since it is smaller than the sum of its proper divisors (166363632709184).

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

110212122112000 is an equidigital number, since it uses as much as digits as its factorization.

110212122112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189491 (or 1189459 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 110212122112000 its reverse (211221212011), we get a palindrome (110423343324011).

The spelling of 110212122112000 in words is "one hundred ten trillion, two hundred twelve billion, one hundred twenty-two million, one hundred twelve thousand".