211300001220 has 192 divisors, whose sum is σ = 744933998592. Its totient is φ = 43471680000.

The previous prime is 211300001219. The next prime is 211300001257. The reversal of 211300001220 is 22100003112.

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 = 211300001196 and 211300001205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 240205 + ... + 693035.

It is an arithmetic number, because the mean of its divisors is an integer number (3879864576).

Almost surely, 2^211300001220 is an apocalyptic number.

211300001220 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 211300001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372466999296).

211300001220 is an abundant number, since it is smaller than the sum of its proper divisors (533633997372).

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

211300001220 is a wasteful number, since it uses less digits than its factorization.

211300001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452962 (or 452960 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 211300001220 its reverse (22100003112), we get a palindrome (233400004332).

The spelling of 211300001220 in words is "two hundred eleven billion, three hundred million, one thousand, two hundred twenty".