220211021210000 has 200 divisors, whose sum is σ = 560885622897600. Its totient is φ = 83605533760000.

The previous prime is 220211021209987. The next prime is 220211021210003. The reversal of 220211021210000 is 12120112022.

220211021210000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

It is not an unprimeable number, because it can be changed into a prime (220211021210003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10674845 + ... + 23545155.

It is an arithmetic number, because the mean of its divisors is an integer number (2804428114488).

Almost surely, 2^{220211021210000} is an apocalyptic number.

220211021210000 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 220211021210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280442811448800).

220211021210000 is an abundant number, since it is smaller than the sum of its proper divisors (340674601687600).

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

220211021210000 is a wasteful number, since it uses less digits than its factorization.

220211021210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12870427 (or 12870406 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 220211021210000 its reverse (12120112022), we get a palindrome (220223141322022).

The spelling of 220211021210000 in words is "two hundred twenty trillion, two hundred eleven billion, twenty-one million, two hundred ten thousand".