211220200112020 has 192 divisors, whose sum is σ = 491955147516672. Its totient is φ = 75537308160000.

The previous prime is 211220200112017. The next prime is 211220200112021. The reversal of 211220200112020 is 20211002022112.

It is a happy number.

211220200112020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×211220200112020² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211220200111985 and 211220200112003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211220200112021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6740265792 + ... + 6740297128.

It is an arithmetic number, because the mean of its divisors is an integer number (2562266393316).

Almost surely, 2^{211220200112020} is an apocalyptic number.

211220200112020 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 211220200112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245977573758336).

211220200112020 is an abundant number, since it is smaller than the sum of its proper divisors (280734947404652).

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

211220200112020 is a wasteful number, since it uses less digits than its factorization.

211220200112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33482 (or 33480 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 211220200112020 its reverse (20211002022112), we get a palindrome (231431202134132).

The spelling of 211220200112020 in words is "two hundred eleven trillion, two hundred twenty billion, two hundred million, one hundred twelve thousand, twenty".