110011121212120 has 128 divisors (see below), whose sum is σ = 254984084835840. Its totient is φ = 42703548088320.

The previous prime is 110011121212037. The next prime is 110011121212123. The reversal of 110011121212120 is 21212121110011.

It is a super-3 number, since 3×110011121212120³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110011121212094 and 110011121212103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110011121212123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43987705 + ... + 46421335.

It is an arithmetic number, because the mean of its divisors is an integer number (1992063162780).

Almost surely, 2^{110011121212120} is an apocalyptic number.

110011121212120 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 110011121212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127492042417920).

110011121212120 is an abundant number, since it is smaller than the sum of its proper divisors (144972963623720).

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

110011121212120 is a wasteful number, since it uses less digits than its factorization.

110011121212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2433965 (or 2433961 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 110011121212120 its reverse (21212121110011), we get a palindrome (131223242322131).

The spelling of 110011121212120 in words is "one hundred ten trillion, eleven billion, one hundred twenty-one million, two hundred twelve thousand, one hundred twenty".