211221202220000 has 360 divisors, whose sum is σ = 636288840550440. Its totient is φ = 68607181440000.

The previous prime is 211221202219991. The next prime is 211221202220051. The reversal of 211221202220000 is 22202122112.

It is a happy number.

It is a super-2 number, since 2×211221202220000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12948110 + ... + 24291890.

It is an arithmetic number, because the mean of its divisors is an integer number (1767469001529).

Almost surely, 2^{211221202220000} is an apocalyptic number.

211221202220000 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 211221202220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318144420275220).

211221202220000 is an abundant number, since it is smaller than the sum of its proper divisors (425067638330440).

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

211221202220000 is a wasteful number, since it uses less digits than its factorization.

211221202220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11343844 (or 11343814 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 211221202220000 its reverse (22202122112), we get a palindrome (211243404342112).

The spelling of 211221202220000 in words is "two hundred eleven trillion, two hundred twenty-one billion, two hundred two million, two hundred twenty thousand".