211200201120 has 384 divisors, whose sum is σ = 713820377088. Its totient is φ = 52370841600.

The previous prime is 211200201011. The next prime is 211200201139. The reversal of 211200201120 is 21102002112.

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

It is a junction number, because it is equal to n+sod(n) for n = 211200201096 and 211200201105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57218475 + ... + 57222165.

It is an arithmetic number, because the mean of its divisors is an integer number (1858907232).

Almost surely, 2^211200201120 is an apocalyptic number.

211200201120 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 211200201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356910188544).

211200201120 is an abundant number, since it is smaller than the sum of its proper divisors (502620175968).

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

211200201120 is a wasteful number, since it uses less digits than its factorization.

211200201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3876 (or 3868 counting only the distinct ones).

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

Adding to 211200201120 its reverse (21102002112), we get a palindrome (232302203232).

The spelling of 211200201120 in words is "two hundred eleven billion, two hundred million, two hundred one thousand, one hundred twenty".