11121002112000 has 704 divisors, whose sum is σ = 40535339869440. Its totient is φ = 2683994112000.

The previous prime is 11121002111987. The next prime is 11121002112023. The reversal of 11121002112000 is 21120012111.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 967290252 + ... + 967301748.

Almost surely, 2^{11121002112000} is an apocalyptic number.

11121002112000 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 11121002112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20267669934720).

11121002112000 is an abundant number, since it is smaller than the sum of its proper divisors (29414337757440).

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

11121002112000 is a wasteful number, since it uses less digits than its factorization.

11121002112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11775 (or 11747 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11121002112000 its reverse (21120012111), we get a palindrome (11142122124111).

The spelling of 11121002112000 in words is "eleven trillion, one hundred twenty-one billion, two million, one hundred twelve thousand".