211011120221200 has 120 divisors (see below), whose sum is σ = 546003648795528. Its totient is φ = 77904241213440.

The previous prime is 211011120221159. The next prime is 211011120221203. The reversal of 211011120221200 is 2122021110112.

It can be written as a sum of positive squares in 12 ways, for example, as 203734743450624 + 7276376770576 = 14273568^2 + 2697476^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (211011120221203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51789594 + ... + 55715206.

Almost surely, 2^{211011120221200} is an apocalyptic number.

211011120221200 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 211011120221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273001824397764).

211011120221200 is an abundant number, since it is smaller than the sum of its proper divisors (334992528574328).

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

211011120221200 is a wasteful number, since it uses less digits than its factorization.

211011120221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3935981 (or 3935970 counting only the distinct ones).

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

Adding to 211011120221200 its reverse (2122021110112), we get a palindrome (213133141331312).

The spelling of 211011120221200 in words is "two hundred eleven trillion, eleven billion, one hundred twenty million, two hundred twenty-one thousand, two hundred".