11122101221120 has 144 divisors (see below), whose sum is σ = 28045755722880. Its totient is φ = 4214286028800.

The previous prime is 11122101221081. The next prime is 11122101221123. The reversal of 11122101221120 is 2112210122111.

It is a super-2 number, since 2×11122101221120² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11122101221123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 411748415 + ... + 411775425.

It is an arithmetic number, because the mean of its divisors is an integer number (194762192520).

Almost surely, 2^{11122101221120} is an apocalyptic number.

11122101221120 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 11122101221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14022877861440).

11122101221120 is an abundant number, since it is smaller than the sum of its proper divisors (16923654501760).

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

11122101221120 is a wasteful number, since it uses less digits than its factorization.

11122101221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43982 (or 43968 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 11122101221120 its reverse (2112210122111), we get a palindrome (13234311343231).

The spelling of 11122101221120 in words is "eleven trillion, one hundred twenty-two billion, one hundred one million, two hundred twenty-one thousand, one hundred twenty".