11001202122112 has 256 divisors, whose sum is σ = 23383442880000. Its totient is φ = 5144809291776.

The previous prime is 11001202122107. The next prime is 11001202122151. The reversal of 11001202122112 is 21122120210011.

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

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 31 ways as a sum of consecutive naturals, for example, 13803264498 + ... + 13803265294.

It is an arithmetic number, because the mean of its divisors is an integer number (91341573750).

Almost surely, 2^{11001202122112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11001202122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11691721440000).

11001202122112 is an abundant number, since it is smaller than the sum of its proper divisors (12382240757888).

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

11001202122112 is a wasteful number, since it uses less digits than its factorization.

11001202122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441 (or 1429 counting only the distinct ones).

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

Adding to 11001202122112 its reverse (21122120210011), we get a palindrome (32123322332123).

The spelling of 11001202122112 in words is "eleven trillion, one billion, two hundred two million, one hundred twenty-two thousand, one hundred twelve".