110212120122112 has 144 divisors (see below), whose sum is σ = 239881132108800. Its totient is φ = 50340072407040.

The previous prime is 110212120122073. The next prime is 110212120122121. The reversal of 110212120122112 is 211221021212011.

It is a happy number.

It is a super-2 number, since 2×110212120122112² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 110212120122112.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17568037 + ... + 23001307.

It is an arithmetic number, because the mean of its divisors is an integer number (1665841195200).

Almost surely, 2^{110212120122112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110212120122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119940566054400).

110212120122112 is an abundant number, since it is smaller than the sum of its proper divisors (129669011986688).

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

110212120122112 is an equidigital number, since it uses as much as digits as its factorization.

110212120122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5433442 (or 5433428 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 110212120122112 its reverse (211221021212011), we get a palindrome (321433141334123).

The spelling of 110212120122112 in words is "one hundred ten trillion, two hundred twelve billion, one hundred twenty million, one hundred twenty-two thousand, one hundred twelve".