110120120016 has 80 divisors (see below), whose sum is σ = 294289735680. Its totient is φ = 35445674880.

The previous prime is 110120119987. The next prime is 110120120017. The reversal of 110120120016 is 610021021011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 110120119977 and 110120120004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110120120017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 609025 + ... + 768863.

It is an arithmetic number, because the mean of its divisors is an integer number (3678621696).

Almost surely, 2^110120120016 is an apocalyptic number.

110120120016 is a gapful number since it is divisible by the number (16) 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 110120120016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147144867840).

110120120016 is an abundant number, since it is smaller than the sum of its proper divisors (184169615664).

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

110120120016 is a wasteful number, since it uses less digits than its factorization.

110120120016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160344 (or 160338 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 110120120016 its reverse (610021021011), we get a palindrome (720141141027).

The spelling of 110120120016 in words is "one hundred ten billion, one hundred twenty million, one hundred twenty thousand, sixteen".