110220122211120 has 280 divisors, whose sum is σ = 384238308955536. Its totient is φ = 29390395912704.

The previous prime is 110220122211119. The next prime is 110220122211127. The reversal of 110220122211120 is 21112221022011.

110220122211120 is a `hidden beast` number, since 110 + 2 + 201 + 22 + 211 + 120 = 666.

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 = 110220122211093 and 110220122211102.

It is not an unprimeable number, because it can be changed into a prime (110220122211127) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1339744227 + ... + 1339826493.

Almost surely, 2^{110220122211120} is an apocalyptic number.

110220122211120 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 110220122211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192119154477768).

110220122211120 is an abundant number, since it is smaller than the sum of its proper divisors (274018186744416).

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

110220122211120 is an equidigital number, since it uses as much as digits as its factorization.

110220122211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105271 (or 105250 counting only the distinct ones).

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

Adding to 110220122211120 its reverse (21112221022011), we get a palindrome (131332343233131).

The spelling of 110220122211120 in words is "one hundred ten trillion, two hundred twenty billion, one hundred twenty-two million, two hundred eleven thousand, one hundred twenty".