11121121100000 has 144 divisors (see below), whose sum is σ = 27425853758016. Its totient is φ = 4438822080000.

The previous prime is 11121121099999. The next prime is 11121121100003. The reversal of 11121121100000 is 112112111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121121100003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46179902 + ... + 46420098.

It is an arithmetic number, because the mean of its divisors is an integer number (190457317764).

Almost surely, 2^{11121121100000} is an apocalyptic number.

11121121100000 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 11121121100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13712926879008).

11121121100000 is an abundant number, since it is smaller than the sum of its proper divisors (16304732658016).

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

11121121100000 is an frugal number, since it uses more digits than its factorization.

11121121100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240695 (or 240667 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 11121121100000 its reverse (112112111), we get a palindrome (11121233212111).

It can be divided in two parts, 11121 and 121100000, that added together give a palindrome (121111121).

The spelling of 11121121100000 in words is "eleven trillion, one hundred twenty-one billion, one hundred twenty-one million, one hundred thousand".