20111120202000 has 640 divisors, whose sum is σ = 66279182860800. Its totient is φ = 5245501440000.

The previous prime is 20111120201999. The next prime is 20111120202007. The reversal of 20111120202000 is 20202111102.

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

It is not an unprimeable number, because it can be changed into a prime (20111120202007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21648137536 + ... + 21648138464.

It is an arithmetic number, because the mean of its divisors is an integer number (103561223220).

Almost surely, 2^{20111120202000} is an apocalyptic number.

20111120202000 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 20111120202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33139591430400).

20111120202000 is an abundant number, since it is smaller than the sum of its proper divisors (46168062658800).

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

20111120202000 is a wasteful number, since it uses less digits than its factorization.

20111120202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20111120202000 its reverse (20202111102), we get a palindrome (20131322313102).

The spelling of 20111120202000 in words is "twenty trillion, one hundred eleven billion, one hundred twenty million, two hundred two thousand".