110110120011120 has 160 divisors (see below), whose sum is σ = 349384040133120. Its totient is φ = 28678586352640.

The previous prime is 110110120011113. The next prime is 110110120011127. The reversal of 110110120011120 is 21110021011011.

It is an interprime number because it is at equal distance from previous prime (110110120011113) and next prime (110110120011127).

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 = 110110120011096 and 110110120011105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110110120011127) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 28372335 + ... + 32018894.

It is an arithmetic number, because the mean of its divisors is an integer number (2183650250832).

Almost surely, 2^{110110120011120} is an apocalyptic number.

110110120011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110110120011120 is an abundant number, since it is smaller than the sum of its proper divisors (239273920122000).

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

110110120011120 is a wasteful number, since it uses less digits than its factorization.

110110120011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60391423 (or 60391417 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 110110120011120 its reverse (21110021011011), we get a palindrome (131220141022131).

The spelling of 110110120011120 in words is "one hundred ten trillion, one hundred ten billion, one hundred twenty million, eleven thousand, one hundred twenty".