110320110131220 has 384 divisors, whose sum is σ = 383388963471360. Its totient is φ = 26104462272000.

The previous prime is 110320110131183. The next prime is 110320110131233. The reversal of 110320110131220 is 22131011023011.

110320110131220 is a `hidden beast` number, since 1 + 1 + 0 + 320 + 1 + 10 + 1 + 312 + 20 = 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 = 110320110131193 and 110320110131202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 375576010 + ... + 375869630.

It is an arithmetic number, because the mean of its divisors is an integer number (998408759040).

Almost surely, 2^{110320110131220} is an apocalyptic number.

110320110131220 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 110320110131220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191694481735680).

110320110131220 is an abundant number, since it is smaller than the sum of its proper divisors (273068853340140).

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

110320110131220 is a wasteful number, since it uses less digits than its factorization.

110320110131220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295164 (or 295156 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 110320110131220 its reverse (22131011023011), we get a palindrome (132451121154231).

The spelling of 110320110131220 in words is "one hundred ten trillion, three hundred twenty billion, one hundred ten million, one hundred thirty-one thousand, two hundred twenty".