11128216000 has 112 divisors (see below), whose sum is σ = 30064630752. Its totient is φ = 4046592000.

The previous prime is 11128215983. The next prime is 11128216007. The reversal of 11128216000 is 61282111.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11128216007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24772 + ... + 151228.

Almost surely, 2^11128216000 is an apocalyptic number.

11128216000 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 11128216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15032315376).

11128216000 is an abundant number, since it is smaller than the sum of its proper divisors (18936414752).

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

11128216000 is a wasteful number, since it uses less digits than its factorization.

11128216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126495 (or 126475 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 22.

Adding to 11128216000 its reverse (61282111), we get a palindrome (11189498111).

The spelling of 11128216000 in words is "eleven billion, one hundred twenty-eight million, two hundred sixteen thousand".