11011120220016 has 640 divisors, whose sum is σ = 38575816704000. Its totient is φ = 3000255793920.

The previous prime is 11011120219997. The next prime is 11011120220017. The reversal of 11011120220016 is 61002202111011.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011120220017) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1182588001 + ... + 1182597311.

It is an arithmetic number, because the mean of its divisors is an integer number (60274713600).

Almost surely, 2^{11011120220016} is an apocalyptic number.

11011120220016 is a gapful number since it is divisible by the number (16) 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 11011120220016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19287908352000).

11011120220016 is an abundant number, since it is smaller than the sum of its proper divisors (27564696483984).

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

11011120220016 is a wasteful number, since it uses less digits than its factorization.

11011120220016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9719 (or 9693 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 11011120220016 its reverse (61002202111011), we get a palindrome (72013322331027).

The spelling of 11011120220016 in words is "eleven trillion, eleven billion, one hundred twenty million, two hundred twenty thousand, sixteen".