20111121112000 has 224 divisors, whose sum is σ = 50425369263360. Its totient is φ = 7944356275200.

The previous prime is 20111121111871. The next prime is 20111121112039. The reversal of 20111121112000 is 21112111102.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2355203731 + ... + 2355212269.

It is an arithmetic number, because the mean of its divisors is an integer number (225113255640).

Almost surely, 2^{20111121112000} is an apocalyptic number.

20111121112000 is a gapful number since it is divisible by the number (20) 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 20111121112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25212684631680).

20111121112000 is an abundant number, since it is smaller than the sum of its proper divisors (30314248151360).

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

20111121112000 is an equidigital number, since it uses as much as digits as its factorization.

20111121112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12196 (or 12176 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 20111121112000 its reverse (21112111102), we get a palindrome (20132233223102).

The spelling of 20111121112000 in words is "twenty trillion, one hundred eleven billion, one hundred twenty-one million, one hundred twelve thousand".