20111111201000 has 128 divisors (see below), whose sum is σ = 48100905216000. Its totient is φ = 7866794291200.

The previous prime is 20111111200949. The next prime is 20111111201009. The reversal of 20111111201000 is 10211111102.

It is not an unprimeable number, because it can be changed into a prime (20111111201009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57023201 + ... + 57374799.

It is an arithmetic number, because the mean of its divisors is an integer number (375788322000).

Almost surely, 2^{20111111201000} is an apocalyptic number.

20111111201000 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 20111111201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24050452608000).

20111111201000 is an abundant number, since it is smaller than the sum of its proper divisors (27989794015000).

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

20111111201000 is a wasteful number, since it uses less digits than its factorization.

20111111201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352884 (or 352870 counting only the distinct ones).

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

Adding to 20111111201000 its reverse (10211111102), we get a palindrome (20121322312102).

The spelling of 20111111201000 in words is "twenty trillion, one hundred eleven billion, one hundred eleven million, two hundred one thousand".