11001201122112 has 224 divisors, whose sum is σ = 30743167733760. Its totient is φ = 3467205181440.

The previous prime is 11001201122089. The next prime is 11001201122117. The reversal of 11001201122112 is 21122110210011.

It is a happy number.

It is a super-2 number, since 2×11001201122112² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11001201122091 and 11001201122100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001201122117) by changing a digit.

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, 57144288 + ... + 57336480.

Almost surely, 2^{11001201122112} is an apocalyptic number.

11001201122112 is a gapful number since it is divisible by the number (12) 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 11001201122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15371583866880).

11001201122112 is an abundant number, since it is smaller than the sum of its proper divisors (19741966611648).

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

11001201122112 is a wasteful number, since it uses less digits than its factorization.

11001201122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192461 (or 192451 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11001201122112 its reverse (21122110210011), we get a palindrome (32123311332123).

The spelling of 11001201122112 in words is "eleven trillion, one billion, two hundred one million, one hundred twenty-two thousand, one hundred twelve".