110122221211120 has 20 divisors (see below), whose sum is σ = 256034164316040. Its totient is φ = 44048888484416.

The previous prime is 110122221211111. The next prime is 110122221211141. The reversal of 110122221211120 is 21112122221011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×110122221211120² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 688263882490 + ... + 688263882649.

It is an arithmetic number, because the mean of its divisors is an integer number (12801708215802).

Almost surely, 2^{110122221211120} is an apocalyptic number.

110122221211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110122221211120 is an abundant number, since it is smaller than the sum of its proper divisors (145911943104920).

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

110122221211120 is a wasteful number, since it uses less digits than its factorization.

110122221211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376527765152 (or 1376527765146 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 110122221211120 its reverse (21112122221011), we get a palindrome (131234343432131).

The spelling of 110122221211120 in words is "one hundred ten trillion, one hundred twenty-two billion, two hundred twenty-one million, two hundred eleven thousand, one hundred twenty".