110121120 has 240 divisors, whose sum is σ = 403409160. Its totient is φ = 28256256.

The previous prime is 110121113. The next prime is 110121211. The reversal of 110121120 is 21121011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 106750224 + 3370896 = 10332^2 + 1836^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×110121120² = 24253322140108800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 375694 + ... + 375986.

Almost surely, 2^110121120 is an apocalyptic number.

110121120 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 110121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201704580).

110121120 is an abundant number, since it is smaller than the sum of its proper divisors (293288040).

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

110121120 is a wasteful number, since it uses less digits than its factorization.

110121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 110121120 is about 10493.8610625451. The cubic root of 110121120 is about 479.3177808281.

Adding to 110121120 its reverse (21121011), we get a palindrome (131242131).

The spelling of 110121120 in words is "one hundred ten million, one hundred twenty-one thousand, one hundred twenty".