110011121220 has 432 divisors, whose sum is σ = 419035800960. Its totient is φ = 21099386880.

The previous prime is 110011121197. The next prime is 110011121261. The reversal of 110011121220 is 22121110011.

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 = 110011121196 and 110011121205.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 8582176 + ... + 8594984.

It is an arithmetic number, because the mean of its divisors is an integer number (969990280).

Almost surely, 2^110011121220 is an apocalyptic number.

110011121220 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 110011121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209517900480).

110011121220 is an abundant number, since it is smaller than the sum of its proper divisors (309024679740).

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

110011121220 is a wasteful number, since it uses less digits than its factorization.

110011121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12876 (or 12850 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 110011121220 its reverse (22121110011), we get a palindrome (132132231231).

The spelling of 110011121220 in words is "one hundred ten billion, eleven million, one hundred twenty-one thousand, two hundred twenty".