110122320 has 320 divisors, whose sum is σ = 437114880. Its totient is φ = 22272000.

The previous prime is 110122303. The next prime is 110122361. The reversal of 110122320 is 23221011.

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 = 110122296 and 110122305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1090270 + ... + 1090370.

It is an arithmetic number, because the mean of its divisors is an integer number (1365984).

Almost surely, 2^110122320 is an apocalyptic number.

110122320 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 110122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218557440).

110122320 is an abundant number, since it is smaller than the sum of its proper divisors (326992560).

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

110122320 is a wasteful number, since it uses less digits than its factorization.

110122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 110122320 is about 10493.9182386752. The cubic root of 110122320 is about 479.3195218785.

Adding to 110122320 its reverse (23221011), we get a palindrome (133343331).

The spelling of 110122320 in words is "one hundred ten million, one hundred twenty-two thousand, three hundred twenty".