11012222011120 has 320 divisors, whose sum is σ = 29785249622016. Its totient is φ = 3742015242240.

The previous prime is 11012222011117. The next prime is 11012222011163. The reversal of 11012222011120 is 2111022221011.

11012222011120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11012222011094 and 11012222011103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3626018242 + ... + 3626021278.

Almost surely, 2^{11012222011120} is an apocalyptic number.

11012222011120 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 11012222011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14892624811008).

11012222011120 is an abundant number, since it is smaller than the sum of its proper divisors (18773027610896).

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

11012222011120 is a wasteful number, since it uses less digits than its factorization.

11012222011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4728 (or 4722 counting only the distinct ones).

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

Adding to 11012222011120 its reverse (2111022221011), we get a palindrome (13123244232131).

The spelling of 11012222011120 in words is "eleven trillion, twelve billion, two hundred twenty-two million, eleven thousand, one hundred twenty".