110120122121220 has 144 divisors (see below), whose sum is σ = 334579676466672. Its totient is φ = 29317143905280.

The previous prime is 110120122121159. The next prime is 110120122121221. The reversal of 110120122121220 is 22121221021011.

110120122121220 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 201 + 221 + 21 + 220 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 31114440993024 + 79005681128196 = 5578032^2 + 8888514^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 110120122121193 and 110120122121202.

It is not an unprimeable number, because it can be changed into a prime (110120122121221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1172179450 + ... + 1172273390.

It is an arithmetic number, because the mean of its divisors is an integer number (2323469975463).

Almost surely, 2^{110120122121220} is an apocalyptic number.

110120122121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110120122121220 is an abundant number, since it is smaller than the sum of its proper divisors (224459554345452).

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

110120122121220 is a wasteful number, since it uses less digits than its factorization.

110120122121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104582 (or 104577 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 110120122121220 its reverse (22121221021011), we get a palindrome (132241343142231).

The spelling of 110120122121220 in words is "one hundred ten trillion, one hundred twenty billion, one hundred twenty-two million, one hundred twenty-one thousand, two hundred twenty".