11242122110120 has 128 divisors (see below), whose sum is σ = 27637128253440. Its totient is φ = 4081704253440.

The previous prime is 11242122110119. The next prime is 11242122110143. The reversal of 11242122110120 is 2101122124211.

It is a super-2 number, since 2×11242122110120² (a number of 27 digits) contains 22 as substring.

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 = 11242122110092 and 11242122110101.

It is an unprimeable number.

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, 944472089 + ... + 944483991.

It is an arithmetic number, because the mean of its divisors is an integer number (215915064480).

Almost surely, 2^{11242122110120} is an apocalyptic number.

11242122110120 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 11242122110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13818564126720).

11242122110120 is an abundant number, since it is smaller than the sum of its proper divisors (16395006143320).

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

11242122110120 is a wasteful number, since it uses less digits than its factorization.

11242122110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15075 (or 15071 counting only the distinct ones).

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

Adding to 11242122110120 its reverse (2101122124211), we get a palindrome (13343244234331).

The spelling of 11242122110120 in words is "eleven trillion, two hundred forty-two billion, one hundred twenty-two million, one hundred ten thousand, one hundred twenty".