110022120120 has 384 divisors, whose sum is σ = 380423070720. Its totient is φ = 25387929600.

The previous prime is 110022120113. The next prime is 110022120121. The reversal of 110022120120 is 21021220011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 110022120096 and 110022120105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110022120121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80483677 + ... + 80485043.

It is an arithmetic number, because the mean of its divisors is an integer number (990685080).

Almost surely, 2^110022120120 is an apocalyptic number.

110022120120 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 110022120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190211535360).

110022120120 is an abundant number, since it is smaller than the sum of its proper divisors (270400950600).

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

110022120120 is a wasteful number, since it uses less digits than its factorization.

110022120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 110022120120 its reverse (21021220011), we get a palindrome (131043340131).

The spelling of 110022120120 in words is "one hundred ten billion, twenty-two million, one hundred twenty thousand, one hundred twenty".