11222112121220 has 192 divisors, whose sum is σ = 31653618587136. Its totient is φ = 3227518033920.

The previous prime is 11222112121219. The next prime is 11222112121223. The reversal of 11222112121220 is 2212121122211.

It is a super-2 number, since 2×11222112121220² (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 = 11222112121192 and 11222112121201.

It is not an unprimeable number, because it can be changed into a prime (11222112121223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53488844 + ... + 53698236.

It is an arithmetic number, because the mean of its divisors is an integer number (164862596808).

Almost surely, 2^{11222112121220} is an apocalyptic number.

11222112121220 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 11222112121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15826809293568).

11222112121220 is an abundant number, since it is smaller than the sum of its proper divisors (20431506465916).

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

11222112121220 is a wasteful number, since it uses less digits than its factorization.

11222112121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212110 (or 212108 counting only the distinct ones).

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

Adding to 11222112121220 its reverse (2212121122211), we get a palindrome (13434233243431).

Subtracting from 11222112121220 its reverse (2212121122211), we obtain a palindrome (9009990999009).

The spelling of 11222112121220 in words is "eleven trillion, two hundred twenty-two billion, one hundred twelve million, one hundred twenty-one thousand, two hundred twenty".