21311120220000 has 960 divisors, whose sum is σ = 77434217118720. Its totient is φ = 5096908800000.

The previous prime is 21311120219951. The next prime is 21311120220001. The reversal of 21311120220000 is 2202111312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21311120220001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8666578771 + ... + 8666581229.

It is an arithmetic number, because the mean of its divisors is an integer number (80660642832).

Almost surely, 2^{21311120220000} is an apocalyptic number.

21311120220000 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 21311120220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38717108559360).

21311120220000 is an abundant number, since it is smaller than the sum of its proper divisors (56123096898720).

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

21311120220000 is a wasteful number, since it uses less digits than its factorization.

21311120220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2817 (or 2794 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 21311120220000 its reverse (2202111312), we get a palindrome (21313322331312).

The spelling of 21311120220000 in words is "twenty-one trillion, three hundred eleven billion, one hundred twenty million, two hundred twenty thousand".