11121120120000 has 1120 divisors, whose sum is σ = 40837290683904. Its totient is φ = 2647756800000.

The previous prime is 11121120119959. The next prime is 11121120120017. The reversal of 11121120120000 is 2102112111.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 21345719740 + ... + 21345720260.

Almost surely, 2^{11121120120000} is an apocalyptic number.

11121120120000 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 11121120120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20418645341952).

11121120120000 is an abundant number, since it is smaller than the sum of its proper divisors (29716170563904).

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

11121120120000 is a wasteful number, since it uses less digits than its factorization.

11121120120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 802 counting only the distinct ones).

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

Adding to 11121120120000 its reverse (2102112111), we get a palindrome (11123222232111).

The spelling of 11121120120000 in words is "eleven trillion, one hundred twenty-one billion, one hundred twenty million, one hundred twenty thousand".