11220110121220 has 576 divisors, whose sum is σ = 32879253915648. Its totient is φ = 3127905792000.

The previous prime is 11220110121169. The next prime is 11220110121221. The reversal of 11220110121220 is 2212101102211.

It is a super-2 number, since 2×11220110121220² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11220110121194 and 11220110121203.

It is not an unprimeable number, because it can be changed into a prime (11220110121221) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1045378974 + ... + 1045389706.

It is an arithmetic number, because the mean of its divisors is an integer number (57082038048).

Almost surely, 2^{11220110121220} is an apocalyptic number.

11220110121220 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 11220110121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16439626957824).

11220110121220 is an abundant number, since it is smaller than the sum of its proper divisors (21659143794428).

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

11220110121220 is a wasteful number, since it uses less digits than its factorization.

11220110121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10932 (or 10919 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11220110121220 its reverse (2212101102211), we get a palindrome (13432211223431).

The spelling of 11220110121220 in words is "eleven trillion, two hundred twenty billion, one hundred ten million, one hundred twenty-one thousand, two hundred twenty".