11022222012120 has 384 divisors, whose sum is σ = 39930563312640. Its totient is φ = 2613870673920.

The previous prime is 11022222012077. The next prime is 11022222012157. The reversal of 11022222012120 is 2121022222011.

It is a happy number.

11022222012120 is a `hidden beast` number, since 1 + 10 + 222 + 220 + 1 + 212 + 0 = 666.

It is a super-2 number, since 2×11022222012120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11022222012093 and 11022222012102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 393257547 + ... + 393285573.

It is an arithmetic number, because the mean of its divisors is an integer number (103985841960).

Almost surely, 2^{11022222012120} is an apocalyptic number.

11022222012120 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 11022222012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19965281656320).

11022222012120 is an abundant number, since it is smaller than the sum of its proper divisors (28908341300520).

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

11022222012120 is a wasteful number, since it uses less digits than its factorization.

11022222012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30215 (or 30208 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11022222012120 its reverse (2121022222011), we get a palindrome (13143244234131).

The spelling of 11022222012120 in words is "eleven trillion, twenty-two billion, two hundred twenty-two million, twelve thousand, one hundred twenty".