211001220000 has 240 divisors, whose sum is σ = 769031081280. Its totient is φ = 56266848000.

The previous prime is 211001219971. The next prime is 211001220013. The reversal of 211001220000 is 22100112.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 344629 + ... + 735371.

It is an arithmetic number, because the mean of its divisors is an integer number (3204296172).

Almost surely, 2^211001220000 is an apocalyptic number.

211001220000 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 211001220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384515540640).

211001220000 is an abundant number, since it is smaller than the sum of its proper divisors (558029861280).

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

211001220000 is an equidigital number, since it uses as much as digits as its factorization.

211001220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390782 (or 390753 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 211001220000 its reverse (22100112), we get a palindrome (211023320112).

It can be divided in two parts, 21100 and 1220000, that added together give a triangular number (1241100 = T₁₅₇₅).

The spelling of 211001220000 in words is "two hundred eleven billion, one million, two hundred twenty thousand".