11001121121112 has 32 divisors (see below), whose sum is σ = 27633147852480. Its totient is φ = 3649661033760.

The previous prime is 11001121120949. The next prime is 11001121121119. The reversal of 11001121121112 is 21112112110011.

It is a junction number, because it is equal to n+sod(n) for n = 11001121121091 and 11001121121100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001121121119) 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 7 ways as a sum of consecutive naturals, for example, 1086203578 + ... + 1086213705.

It is an arithmetic number, because the mean of its divisors is an integer number (863535870390).

Almost surely, 2^{11001121121112} is an apocalyptic number.

11001121121112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11001121121112 is an abundant number, since it is smaller than the sum of its proper divisors (16632026731368).

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

11001121121112 is a wasteful number, since it uses less digits than its factorization.

11001121121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2172417503 (or 2172417499 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 11001121121112 its reverse (21112112110011), we get a palindrome (32113233231123).

The spelling of 11001121121112 in words is "eleven trillion, one billion, one hundred twenty-one million, one hundred twenty-one thousand, one hundred twelve".