110212211222120 has 128 divisors (see below), whose sum is σ = 300766599705600. Its totient is φ = 35482141310976.

The previous prime is 110212211222111. The next prime is 110212211222129. The reversal of 110212211222120 is 21222112212011.

It is an interprime number because it is at equal distance from previous prime (110212211222111) and next prime (110212211222129).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 110212211222092 and 110212211222101.

It is not an unprimeable number, because it can be changed into a prime (110212211222129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24675440 + ... + 28797599.

It is an arithmetic number, because the mean of its divisors is an integer number (2349739060200).

Almost surely, 2^{110212211222120} is an apocalyptic number.

110212211222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110212211222120 is an abundant number, since it is smaller than the sum of its proper divisors (190554388483480).

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

110212211222120 is a wasteful number, since it uses less digits than its factorization.

110212211222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53473507 (or 53473503 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 110212211222120 its reverse (21222112212011), we get a palindrome (131434323434131).

The spelling of 110212211222120 in words is "one hundred ten trillion, two hundred twelve billion, two hundred eleven million, two hundred twenty-two thousand, one hundred twenty".