11121000016 has 240 divisors, whose sum is σ = 27073267200. Its totient is φ = 4403911680.

The previous prime is 11120999999. The next prime is 11121000049. The reversal of 11121000016 is 61000012111.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74637510 + ... + 74637658.

It is an arithmetic number, because the mean of its divisors is an integer number (112805280).

Almost surely, 2^11121000016 is an apocalyptic number.

11121000016 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 11121000016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13536633600).

11121000016 is an abundant number, since it is smaller than the sum of its proper divisors (15952267184).

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

11121000016 is a wasteful number, since it uses less digits than its factorization.

11121000016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 11121000016 its reverse (61000012111), we get a palindrome (72121012127).

The spelling of 11121000016 in words is "eleven billion, one hundred twenty-one million, sixteen", and thus it is an aban number.