211200111201220 has 192 divisors, whose sum is σ = 489495395773440. Its totient is φ = 76253029171200.

The previous prime is 211200111201199. The next prime is 211200111201229. The reversal of 211200111201220 is 22102111002112.

It is a super-2 number, since 2×211200111201220² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211200111201194 and 211200111201203.

It is not an unprimeable number, because it can be changed into a prime (211200111201229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 334327260 + ... + 334958380.

It is an arithmetic number, because the mean of its divisors is an integer number (2549455186320).

Almost surely, 2^{211200111201220} is an apocalyptic number.

211200111201220 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 211200111201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244747697886720).

211200111201220 is an abundant number, since it is smaller than the sum of its proper divisors (278295284572220).

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

211200111201220 is a wasteful number, since it uses less digits than its factorization.

211200111201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631694 (or 631692 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211200111201220 its reverse (22102111002112), we get a palindrome (233302222203332).

The spelling of 211200111201220 in words is "two hundred eleven trillion, two hundred billion, one hundred eleven million, two hundred one thousand, two hundred twenty".