211201221000 has 1024 divisors, whose sum is σ = 858304512000. Its totient is φ = 42844032000.

The previous prime is 211201220987. The next prime is 211201221001. The reversal of 211201221000 is 122102112.

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

It is not an unprimeable number, because it can be changed into a prime (211201221001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 531992802 + ... + 531993198.

It is an arithmetic number, because the mean of its divisors is an integer number (838188000).

Almost surely, 2^211201221000 is an apocalyptic number.

211201221000 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 211201221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429152256000).

211201221000 is an abundant number, since it is smaller than the sum of its proper divisors (647103291000).

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

211201221000 is a wasteful number, since it uses less digits than its factorization.

211201221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 472 counting only the distinct ones).

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

Adding to 211201221000 its reverse (122102112), we get a palindrome (211323323112).

It can be divided in two parts, 21 and 1201221000, that added together give a palindrome (1201221021).

The spelling of 211201221000 in words is "two hundred eleven billion, two hundred one million, two hundred twenty-one thousand".